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Finding the Fourth Proportional to 96,314.70, 144,472.05 and 64,821.90

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Solution

The fourth proportional to 96,314.70, 144,472.05 and 64,821.90 is: 97,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,314.70 : 144,472.05 = 64,821.90 : x
  2. Step 2: Convert to fraction form
    96,314.70/144,472.05 = 64,821.90/x
  3. Step 3: Cross multiply
    96,314.70x = 144,472.05 × 64,821.90
  4. Step 4: Simplify right side
    96,314.70x = 9,364,952,777.90
  5. Step 5: Solve for x
    x = 9,364,952,777.90/96,314.70
  6. Step 6: Final answer
    x = 97,232.85

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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.