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Finding the Fourth Proportional to 227,641.76, 314,159.28 and 127,046.24

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Solution

The fourth proportional to 227,641.76, 314,159.28 and 127,046.24 is: 175,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,641.76 : 314,159.28 = 127,046.24 : x
  2. Step 2: Convert to fraction form
    227,641.76/314,159.28 = 127,046.24/x
  3. Step 3: Cross multiply
    227,641.76x = 314,159.28 × 127,046.24
  4. Step 4: Simplify right side
    227,641.76x = 39,912,755,285.11
  5. Step 5: Solve for x
    x = 39,912,755,285.11/227,641.76
  6. Step 6: Final answer
    x = 175,331.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.