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Finding the Fourth Proportional to 178,285.35, 267,414.54 and 65,913.03

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Solution

The fourth proportional to 178,285.35, 267,414.54 and 65,913.03 is: 98,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,285.35 : 267,414.54 = 65,913.03 : x
  2. Step 2: Convert to fraction form
    178,285.35/267,414.54 = 65,913.03/x
  3. Step 3: Cross multiply
    178,285.35x = 267,414.54 × 65,913.03
  4. Step 4: Simplify right side
    178,285.35x = 17,626,102,597.46
  5. Step 5: Solve for x
    x = 17,626,102,597.46/178,285.35
  6. Step 6: Final answer
    x = 98,864.56

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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.