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Finding the Fourth Proportional to 101,772.70, 140,446.71 and 56,454.86

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Solution

The fourth proportional to 101,772.70, 140,446.71 and 56,454.86 is: 77,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,772.70 : 140,446.71 = 56,454.86 : x
  2. Step 2: Convert to fraction form
    101,772.70/140,446.71 = 56,454.86/x
  3. Step 3: Cross multiply
    101,772.70x = 140,446.71 × 56,454.86
  4. Step 4: Simplify right side
    101,772.70x = 7,928,899,350.51
  5. Step 5: Solve for x
    x = 7,928,899,350.51/101,772.70
  6. Step 6: Final answer
    x = 77,907.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.