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Finding the Fourth Proportional to 123,096.30, 169,844.71 and 77,719.69

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Solution

The fourth proportional to 123,096.30, 169,844.71 and 77,719.69 is: 107,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,096.30 : 169,844.71 = 77,719.69 : x
  2. Step 2: Convert to fraction form
    123,096.30/169,844.71 = 77,719.69/x
  3. Step 3: Cross multiply
    123,096.30x = 169,844.71 × 77,719.69
  4. Step 4: Simplify right side
    123,096.30x = 13,200,278,209.34
  5. Step 5: Solve for x
    x = 13,200,278,209.34/123,096.30
  6. Step 6: Final answer
    x = 107,235.38

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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.