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Finding the Fourth Proportional to 127,471.92, 191,324.52 and 65,186.16

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Solution

The fourth proportional to 127,471.92, 191,324.52 and 65,186.16 is: 97,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,471.92 : 191,324.52 = 65,186.16 : x
  2. Step 2: Convert to fraction form
    127,471.92/191,324.52 = 65,186.16/x
  3. Step 3: Cross multiply
    127,471.92x = 191,324.52 × 65,186.16
  4. Step 4: Simplify right side
    127,471.92x = 12,471,710,772.64
  5. Step 5: Solve for x
    x = 12,471,710,772.64/127,471.92
  6. Step 6: Final answer
    x = 97,838.89

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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.