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Finding the Fourth Proportional to 291,902.90, 402,825.80 and 157,766.90

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Solution

The fourth proportional to 291,902.90, 402,825.80 and 157,766.90 is: 217,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,902.90 : 402,825.80 = 157,766.90 : x
  2. Step 2: Convert to fraction form
    291,902.90/402,825.80 = 157,766.90/x
  3. Step 3: Cross multiply
    291,902.90x = 402,825.80 × 157,766.90
  4. Step 4: Simplify right side
    291,902.90x = 63,552,577,706.02
  5. Step 5: Solve for x
    x = 63,552,577,706.02/291,902.90
  6. Step 6: Final answer
    x = 217,718.21

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