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Finding the Fourth Proportional to 96,368.87, 144,290.86 and 74,947.20

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Solution

The fourth proportional to 96,368.87, 144,290.86 and 74,947.20 is: 112,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,368.87 : 144,290.86 = 74,947.20 : x
  2. Step 2: Convert to fraction form
    96,368.87/144,290.86 = 74,947.20/x
  3. Step 3: Cross multiply
    96,368.87x = 144,290.86 × 74,947.20
  4. Step 4: Simplify right side
    96,368.87x = 10,814,195,755.22
  5. Step 5: Solve for x
    x = 10,814,195,755.22/96,368.87
  6. Step 6: Final answer
    x = 112,216.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.