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Finding the Fourth Proportional to 252,166.74, 347,989.95 and 138,989.46

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Solution

The fourth proportional to 252,166.74, 347,989.95 and 138,989.46 is: 191,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,166.74 : 347,989.95 = 138,989.46 : x
  2. Step 2: Convert to fraction form
    252,166.74/347,989.95 = 138,989.46/x
  3. Step 3: Cross multiply
    252,166.74x = 347,989.95 × 138,989.46
  4. Step 4: Simplify right side
    252,166.74x = 48,366,935,235.93
  5. Step 5: Solve for x
    x = 48,366,935,235.93/252,166.74
  6. Step 6: Final answer
    x = 191,805.37

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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.