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Finding the Fourth Proportional to 96,572.85, 144,829.63 and 66,778.53

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Solution

The fourth proportional to 96,572.85, 144,829.63 and 66,778.53 is: 100,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,572.85 : 144,829.63 = 66,778.53 : x
  2. Step 2: Convert to fraction form
    96,572.85/144,829.63 = 66,778.53/x
  3. Step 3: Cross multiply
    96,572.85x = 144,829.63 × 66,778.53
  4. Step 4: Simplify right side
    96,572.85x = 9,671,509,791.84
  5. Step 5: Solve for x
    x = 9,671,509,791.84/96,572.85
  6. Step 6: Final answer
    x = 100,147.30

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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.