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Finding the Fourth Proportional to 261,691.52, 361,152.96 and 148,521.56

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Solution

The fourth proportional to 261,691.52, 361,152.96 and 148,521.56 is: 204,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,691.52 : 361,152.96 = 148,521.56 : x
  2. Step 2: Convert to fraction form
    261,691.52/361,152.96 = 148,521.56/x
  3. Step 3: Cross multiply
    261,691.52x = 361,152.96 × 148,521.56
  4. Step 4: Simplify right side
    261,691.52x = 53,639,001,017.82
  5. Step 5: Solve for x
    x = 53,639,001,017.82/261,691.52
  6. Step 6: Final answer
    x = 204,970.34

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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.