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Finding the Fourth Proportional to 261,857.96, 361,397.70 and 159,862.04

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Solution

The fourth proportional to 261,857.96, 361,397.70 and 159,862.04 is: 220,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,857.96 : 361,397.70 = 159,862.04 : x
  2. Step 2: Convert to fraction form
    261,857.96/361,397.70 = 159,862.04/x
  3. Step 3: Cross multiply
    261,857.96x = 361,397.70 × 159,862.04
  4. Step 4: Simplify right side
    261,857.96x = 57,773,773,573.31
  5. Step 5: Solve for x
    x = 57,773,773,573.31/261,857.96
  6. Step 6: Final answer
    x = 220,630.20

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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.