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Finding the Fourth Proportional to 129,130.26, 178,210.47 and 75,432.51

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Solution

The fourth proportional to 129,130.26, 178,210.47 and 75,432.51 is: 104,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,130.26 : 178,210.47 = 75,432.51 : x
  2. Step 2: Convert to fraction form
    129,130.26/178,210.47 = 75,432.51/x
  3. Step 3: Cross multiply
    129,130.26x = 178,210.47 × 75,432.51
  4. Step 4: Simplify right side
    129,130.26x = 13,442,863,060.38
  5. Step 5: Solve for x
    x = 13,442,863,060.38/129,130.26
  6. Step 6: Final answer
    x = 104,103.12

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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.