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Finding the Fourth Proportional to 129,112.48, 178,196.52 and 75,397.06

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Solution

The fourth proportional to 129,112.48, 178,196.52 and 75,397.06 is: 104,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,112.48 : 178,196.52 = 75,397.06 : x
  2. Step 2: Convert to fraction form
    129,112.48/178,196.52 = 75,397.06/x
  3. Step 3: Cross multiply
    129,112.48x = 178,196.52 × 75,397.06
  4. Step 4: Simplify right side
    129,112.48x = 13,435,493,710.23
  5. Step 5: Solve for x
    x = 13,435,493,710.23/129,112.48
  6. Step 6: Final answer
    x = 104,060.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.