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Finding the Fourth Proportional to 118,839.66, 178,255.86 and 48,666.12

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Solution

The fourth proportional to 118,839.66, 178,255.86 and 48,666.12 is: 72,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,839.66 : 178,255.86 = 48,666.12 : x
  2. Step 2: Convert to fraction form
    118,839.66/178,255.86 = 48,666.12/x
  3. Step 3: Cross multiply
    118,839.66x = 178,255.86 × 48,666.12
  4. Step 4: Simplify right side
    118,839.66x = 8,675,021,073.46
  5. Step 5: Solve for x
    x = 8,675,021,073.46/118,839.66
  6. Step 6: Final answer
    x = 72,997.69

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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.