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Finding the Fourth Proportional to 129,042.36, 178,094.19 and 81,294.87

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Solution

The fourth proportional to 129,042.36, 178,094.19 and 81,294.87 is: 112,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,042.36 : 178,094.19 = 81,294.87 : x
  2. Step 2: Convert to fraction form
    129,042.36/178,094.19 = 81,294.87/x
  3. Step 3: Cross multiply
    129,042.36x = 178,094.19 × 81,294.87
  4. Step 4: Simplify right side
    129,042.36x = 14,478,144,023.81
  5. Step 5: Solve for x
    x = 14,478,144,023.81/129,042.36
  6. Step 6: Final answer
    x = 112,196.83

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