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Finding the Fourth Proportional to 218,686.38, 301,785.86 and 123,223.84

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Solution

The fourth proportional to 218,686.38, 301,785.86 and 123,223.84 is: 170,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,686.38 : 301,785.86 = 123,223.84 : x
  2. Step 2: Convert to fraction form
    218,686.38/301,785.86 = 123,223.84/x
  3. Step 3: Cross multiply
    218,686.38x = 301,785.86 × 123,223.84
  4. Step 4: Simplify right side
    218,686.38x = 37,187,212,526.90
  5. Step 5: Solve for x
    x = 37,187,212,526.90/218,686.38
  6. Step 6: Final answer
    x = 170,048.14

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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.