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Finding the Fourth Proportional to 252,024.75, 347,794.16 and 138,849.93

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Solution

The fourth proportional to 252,024.75, 347,794.16 and 138,849.93 is: 191,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,024.75 : 347,794.16 = 138,849.93 : x
  2. Step 2: Convert to fraction form
    252,024.75/347,794.16 = 138,849.93/x
  3. Step 3: Cross multiply
    252,024.75x = 347,794.16 × 138,849.93
  4. Step 4: Simplify right side
    252,024.75x = 48,291,194,076.16
  5. Step 5: Solve for x
    x = 48,291,194,076.16/252,024.75
  6. Step 6: Final answer
    x = 191,612.90

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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.