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Finding the Fourth Proportional to 122,338.01, 169,159.46 and 106,591.61

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Solution

The fourth proportional to 122,338.01, 169,159.46 and 106,591.61 is: 147,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,338.01 : 169,159.46 = 106,591.61 : x
  2. Step 2: Convert to fraction form
    122,338.01/169,159.46 = 106,591.61/x
  3. Step 3: Cross multiply
    122,338.01x = 169,159.46 × 106,591.61
  4. Step 4: Simplify right side
    122,338.01x = 18,030,977,809.38
  5. Step 5: Solve for x
    x = 18,030,977,809.38/122,338.01
  6. Step 6: Final answer
    x = 147,386.56

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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.