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Finding the Fourth Proportional to 261,310.36, 391,838.68 and 153,269.14

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Solution

The fourth proportional to 261,310.36, 391,838.68 and 153,269.14 is: 229,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,310.36 : 391,838.68 = 153,269.14 : x
  2. Step 2: Convert to fraction form
    261,310.36/391,838.68 = 153,269.14/x
  3. Step 3: Cross multiply
    261,310.36x = 391,838.68 × 153,269.14
  4. Step 4: Simplify right side
    261,310.36x = 60,056,777,502.34
  5. Step 5: Solve for x
    x = 60,056,777,502.34/261,310.36
  6. Step 6: Final answer
    x = 229,829.30

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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.