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Finding the Fourth Proportional to 96,315.24, 144,277.02 and 78,609

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Solution

The fourth proportional to 96,315.24, 144,277.02 and 78,609 is: 117,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,315.24 : 144,277.02 = 78,609 : x
  2. Step 2: Convert to fraction form
    96,315.24/144,277.02 = 78,609/x
  3. Step 3: Cross multiply
    96,315.24x = 144,277.02 × 78,609
  4. Step 4: Simplify right side
    96,315.24x = 11,341,472,265.18
  5. Step 5: Solve for x
    x = 11,341,472,265.18/96,315.24
  6. Step 6: Final answer
    x = 117,753.66

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