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Finding the Fourth Proportional to 252,092.01, 347,885.10 and 138,914.76

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Solution

The fourth proportional to 252,092.01, 347,885.10 and 138,914.76 is: 191,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,092.01 : 347,885.10 = 138,914.76 : x
  2. Step 2: Convert to fraction form
    252,092.01/347,885.10 = 138,914.76/x
  3. Step 3: Cross multiply
    252,092.01x = 347,885.10 × 138,914.76
  4. Step 4: Simplify right side
    252,092.01x = 48,326,375,174.08
  5. Step 5: Solve for x
    x = 48,326,375,174.08/252,092.01
  6. Step 6: Final answer
    x = 191,701.34

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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.