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Finding the Fourth Proportional to 129,220.38, 178,297.98 and 75,495.02

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Solution

The fourth proportional to 129,220.38, 178,297.98 and 75,495.02 is: 104,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,220.38 : 178,297.98 = 75,495.02 : x
  2. Step 2: Convert to fraction form
    129,220.38/178,297.98 = 75,495.02/x
  3. Step 3: Cross multiply
    129,220.38x = 178,297.98 × 75,495.02
  4. Step 4: Simplify right side
    129,220.38x = 13,460,609,626.29
  5. Step 5: Solve for x
    x = 13,460,609,626.29/129,220.38
  6. Step 6: Final answer
    x = 104,167.85

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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.