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Finding the Fourth Proportional to 255,200.31, 382,543.14 and 160,498.17

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Solution

The fourth proportional to 255,200.31, 382,543.14 and 160,498.17 is: 240,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,200.31 : 382,543.14 = 160,498.17 : x
  2. Step 2: Convert to fraction form
    255,200.31/382,543.14 = 160,498.17/x
  3. Step 3: Cross multiply
    255,200.31x = 382,543.14 × 160,498.17
  4. Step 4: Simplify right side
    255,200.31x = 61,397,473,916.05
  5. Step 5: Solve for x
    x = 61,397,473,916.05/255,200.31
  6. Step 6: Final answer
    x = 240,585.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.