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Finding the Fourth Proportional to 252,023.10, 378,034.65 and 65,034.60

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Solution

The fourth proportional to 252,023.10, 378,034.65 and 65,034.60 is: 97,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,023.10 : 378,034.65 = 65,034.60 : x
  2. Step 2: Convert to fraction form
    252,023.10/378,034.65 = 65,034.60/x
  3. Step 3: Cross multiply
    252,023.10x = 378,034.65 × 65,034.60
  4. Step 4: Simplify right side
    252,023.10x = 24,585,332,248.89
  5. Step 5: Solve for x
    x = 24,585,332,248.89/252,023.10
  6. Step 6: Final answer
    x = 97,551.90

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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.