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Finding the Fourth Proportional to 252,765.56, 348,818.16 and 138,041.24

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Solution

The fourth proportional to 252,765.56, 348,818.16 and 138,041.24 is: 190,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,765.56 : 348,818.16 = 138,041.24 : x
  2. Step 2: Convert to fraction form
    252,765.56/348,818.16 = 138,041.24/x
  3. Step 3: Cross multiply
    252,765.56x = 348,818.16 × 138,041.24
  4. Step 4: Simplify right side
    252,765.56x = 48,151,291,340.92
  5. Step 5: Solve for x
    x = 48,151,291,340.92/252,765.56
  6. Step 6: Final answer
    x = 190,497.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.