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Finding the Fourth Proportional to 238,379.80, 357,489.54 and 96,188.32

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Solution

The fourth proportional to 238,379.80, 357,489.54 and 96,188.32 is: 144,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,379.80 : 357,489.54 = 96,188.32 : x
  2. Step 2: Convert to fraction form
    238,379.80/357,489.54 = 96,188.32/x
  3. Step 3: Cross multiply
    238,379.80x = 357,489.54 × 96,188.32
  4. Step 4: Simplify right side
    238,379.80x = 34,386,318,270.17
  5. Step 5: Solve for x
    x = 34,386,318,270.17/238,379.80
  6. Step 6: Final answer
    x = 144,250.13

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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.