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Finding the Fourth Proportional to 118,807.88, 178,196.94 and 38,839.15

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Solution

The fourth proportional to 118,807.88, 178,196.94 and 38,839.15 is: 58,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,807.88 : 178,196.94 = 38,839.15 : x
  2. Step 2: Convert to fraction form
    118,807.88/178,196.94 = 38,839.15/x
  3. Step 3: Cross multiply
    118,807.88x = 178,196.94 × 38,839.15
  4. Step 4: Simplify right side
    118,807.88x = 6,921,017,236.71
  5. Step 5: Solve for x
    x = 6,921,017,236.71/118,807.88
  6. Step 6: Final answer
    x = 58,253.86

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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.