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Finding the Fourth Proportional to 292,002.75, 402,963.89 and 157,866.75

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Solution

The fourth proportional to 292,002.75, 402,963.89 and 157,866.75 is: 217,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,002.75 : 402,963.89 = 157,866.75 : x
  2. Step 2: Convert to fraction form
    292,002.75/402,963.89 = 157,866.75/x
  3. Step 3: Cross multiply
    292,002.75x = 402,963.89 × 157,866.75
  4. Step 4: Simplify right side
    292,002.75x = 63,614,598,892.32
  5. Step 5: Solve for x
    x = 63,614,598,892.32/292,002.75
  6. Step 6: Final answer
    x = 217,856.16

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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.