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Finding the Fourth Proportional to 129,298.17, 178,389.95 and 78,294.60

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Solution

The fourth proportional to 129,298.17, 178,389.95 and 78,294.60 is: 108,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,298.17 : 178,389.95 = 78,294.60 : x
  2. Step 2: Convert to fraction form
    129,298.17/178,389.95 = 78,294.60/x
  3. Step 3: Cross multiply
    129,298.17x = 178,389.95 × 78,294.60
  4. Step 4: Simplify right side
    129,298.17x = 13,966,969,387.80
  5. Step 5: Solve for x
    x = 13,966,969,387.80/129,298.17
  6. Step 6: Final answer
    x = 108,021.40

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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.