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Finding the Fourth Proportional to 252,002.64, 347,764.50 and 138,825.12

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Solution

The fourth proportional to 252,002.64, 347,764.50 and 138,825.12 is: 191,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,002.64 : 347,764.50 = 138,825.12 : x
  2. Step 2: Convert to fraction form
    252,002.64/347,764.50 = 138,825.12/x
  3. Step 3: Cross multiply
    252,002.64x = 347,764.50 × 138,825.12
  4. Step 4: Simplify right side
    252,002.64x = 48,278,448,444.24
  5. Step 5: Solve for x
    x = 48,278,448,444.24/252,002.64
  6. Step 6: Final answer
    x = 191,579.14

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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.