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Finding the Fourth Proportional to 127,814.30, 191,721.45 and 65,606.30

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Solution

The fourth proportional to 127,814.30, 191,721.45 and 65,606.30 is: 98,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,814.30 : 191,721.45 = 65,606.30 : x
  2. Step 2: Convert to fraction form
    127,814.30/191,721.45 = 65,606.30/x
  3. Step 3: Cross multiply
    127,814.30x = 191,721.45 × 65,606.30
  4. Step 4: Simplify right side
    127,814.30x = 12,578,134,965.14
  5. Step 5: Solve for x
    x = 12,578,134,965.14/127,814.30
  6. Step 6: Final answer
    x = 98,409.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.