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Finding the Fourth Proportional to 101,741.38, 140,410.29 and 56,423.70

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Solution

The fourth proportional to 101,741.38, 140,410.29 and 56,423.70 is: 77,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,741.38 : 140,410.29 = 56,423.70 : x
  2. Step 2: Convert to fraction form
    101,741.38/140,410.29 = 56,423.70/x
  3. Step 3: Cross multiply
    101,741.38x = 140,410.29 × 56,423.70
  4. Step 4: Simplify right side
    101,741.38x = 7,922,468,291.46
  5. Step 5: Solve for x
    x = 7,922,468,291.46/101,741.38
  6. Step 6: Final answer
    x = 77,868.69

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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.