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Finding the Fourth Proportional to 122,699.38, 169,324.14 and 77,406.61

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Solution

The fourth proportional to 122,699.38, 169,324.14 and 77,406.61 is: 106,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,699.38 : 169,324.14 = 77,406.61 : x
  2. Step 2: Convert to fraction form
    122,699.38/169,324.14 = 77,406.61/x
  3. Step 3: Cross multiply
    122,699.38x = 169,324.14 × 77,406.61
  4. Step 4: Simplify right side
    122,699.38x = 13,106,807,668.57
  5. Step 5: Solve for x
    x = 13,106,807,668.57/122,699.38
  6. Step 6: Final answer
    x = 106,820.49

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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.