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Finding the Fourth Proportional to 238,684.38, 357,825.49 and 103,646.85

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Solution

The fourth proportional to 238,684.38, 357,825.49 and 103,646.85 is: 155,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,684.38 : 357,825.49 = 103,646.85 : x
  2. Step 2: Convert to fraction form
    238,684.38/357,825.49 = 103,646.85/x
  3. Step 3: Cross multiply
    238,684.38x = 357,825.49 × 103,646.85
  4. Step 4: Simplify right side
    238,684.38x = 37,087,486,553.95
  5. Step 5: Solve for x
    x = 37,087,486,553.95/238,684.38
  6. Step 6: Final answer
    x = 155,382.96

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Why These Related Problems?

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