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Finding the Fourth Proportional to 178,265.08, 267,384.44 and 65,892.84

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Solution

The fourth proportional to 178,265.08, 267,384.44 and 65,892.84 is: 98,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,265.08 : 267,384.44 = 65,892.84 : x
  2. Step 2: Convert to fraction form
    178,265.08/267,384.44 = 65,892.84/x
  3. Step 3: Cross multiply
    178,265.08x = 267,384.44 × 65,892.84
  4. Step 4: Simplify right side
    178,265.08x = 17,618,720,123.41
  5. Step 5: Solve for x
    x = 17,618,720,123.41/178,265.08
  6. Step 6: Final answer
    x = 98,834.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.