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Finding the Fourth Proportional to 127,700.20, 191,291.10 and 72,231.40

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Solution

The fourth proportional to 127,700.20, 191,291.10 and 72,231.40 is: 108,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,700.20 : 191,291.10 = 72,231.40 : x
  2. Step 2: Convert to fraction form
    127,700.20/191,291.10 = 72,231.40/x
  3. Step 3: Cross multiply
    127,700.20x = 191,291.10 × 72,231.40
  4. Step 4: Simplify right side
    127,700.20x = 13,817,223,960.54
  5. Step 5: Solve for x
    x = 13,817,223,960.54/127,700.20
  6. Step 6: Final answer
    x = 108,200.49

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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.