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Finding the Fourth Proportional to 101,758.64, 140,463.26 and 69,470.14

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Solution

The fourth proportional to 101,758.64, 140,463.26 and 69,470.14 is: 95,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,758.64 : 140,463.26 = 69,470.14 : x
  2. Step 2: Convert to fraction form
    101,758.64/140,463.26 = 69,470.14/x
  3. Step 3: Cross multiply
    101,758.64x = 140,463.26 × 69,470.14
  4. Step 4: Simplify right side
    101,758.64x = 9,758,002,337.06
  5. Step 5: Solve for x
    x = 9,758,002,337.06/101,758.64
  6. Step 6: Final answer
    x = 95,893.60

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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.