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Finding the Fourth Proportional to 149,836.38, 206,780.51 and 86,174.24

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Solution

The fourth proportional to 149,836.38, 206,780.51 and 86,174.24 is: 118,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,836.38 : 206,780.51 = 86,174.24 : x
  2. Step 2: Convert to fraction form
    149,836.38/206,780.51 = 86,174.24/x
  3. Step 3: Cross multiply
    149,836.38x = 206,780.51 × 86,174.24
  4. Step 4: Simplify right side
    149,836.38x = 17,819,151,831.29
  5. Step 5: Solve for x
    x = 17,819,151,831.29/149,836.38
  6. Step 6: Final answer
    x = 118,924.07

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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.