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Finding the Fourth Proportional to 101,527.38, 140,109 and 56,209.56

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Solution

The fourth proportional to 101,527.38, 140,109 and 56,209.56 is: 77,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,527.38 : 140,109 = 56,209.56 : x
  2. Step 2: Convert to fraction form
    101,527.38/140,109 = 56,209.56/x
  3. Step 3: Cross multiply
    101,527.38x = 140,109 × 56,209.56
  4. Step 4: Simplify right side
    101,527.38x = 7,875,465,242.04
  5. Step 5: Solve for x
    x = 7,875,465,242.04/101,527.38
  6. Step 6: Final answer
    x = 77,569.87

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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.