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Finding the Fourth Proportional to 127,534.80, 191,294.10 and 43,294.80

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Solution

The fourth proportional to 127,534.80, 191,294.10 and 43,294.80 is: 64,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,534.80 : 191,294.10 = 43,294.80 : x
  2. Step 2: Convert to fraction form
    127,534.80/191,294.10 = 43,294.80/x
  3. Step 3: Cross multiply
    127,534.80x = 191,294.10 × 43,294.80
  4. Step 4: Simplify right side
    127,534.80x = 8,282,039,800.68
  5. Step 5: Solve for x
    x = 8,282,039,800.68/127,534.80
  6. Step 6: Final answer
    x = 64,939.45

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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.