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Finding the Fourth Proportional to 252,101.70, 347,883.90 and 138,924.42

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Solution

The fourth proportional to 252,101.70, 347,883.90 and 138,924.42 is: 191,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,101.70 : 347,883.90 = 138,924.42 : x
  2. Step 2: Convert to fraction form
    252,101.70/347,883.90 = 138,924.42/x
  3. Step 3: Cross multiply
    252,101.70x = 347,883.90 × 138,924.42
  4. Step 4: Simplify right side
    252,101.70x = 48,329,569,034.84
  5. Step 5: Solve for x
    x = 48,329,569,034.84/252,101.70
  6. Step 6: Final answer
    x = 191,706.64

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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.