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Finding the Fourth Proportional to 252,051.40, 378,077.10 and 74,542.60

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Solution

The fourth proportional to 252,051.40, 378,077.10 and 74,542.60 is: 111,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,051.40 : 378,077.10 = 74,542.60 : x
  2. Step 2: Convert to fraction form
    252,051.40/378,077.10 = 74,542.60/x
  3. Step 3: Cross multiply
    252,051.40x = 378,077.10 × 74,542.60
  4. Step 4: Simplify right side
    252,051.40x = 28,182,850,034.46
  5. Step 5: Solve for x
    x = 28,182,850,034.46/252,051.40
  6. Step 6: Final answer
    x = 111,813.90

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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.