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Finding the Fourth Proportional to 129,037.18, 178,085.58 and 75,335.38

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Solution

The fourth proportional to 129,037.18, 178,085.58 and 75,335.38 is: 103,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,037.18 : 178,085.58 = 75,335.38 : x
  2. Step 2: Convert to fraction form
    129,037.18/178,085.58 = 75,335.38/x
  3. Step 3: Cross multiply
    129,037.18x = 178,085.58 × 75,335.38
  4. Step 4: Simplify right side
    129,037.18x = 13,416,144,841.82
  5. Step 5: Solve for x
    x = 13,416,144,841.82/129,037.18
  6. Step 6: Final answer
    x = 103,971.16

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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.