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Finding the Fourth Proportional to 96,002.10, 144,003.15 and 64,509.30

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Solution

The fourth proportional to 96,002.10, 144,003.15 and 64,509.30 is: 96,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,002.10 : 144,003.15 = 64,509.30 : x
  2. Step 2: Convert to fraction form
    96,002.10/144,003.15 = 64,509.30/x
  3. Step 3: Cross multiply
    96,002.10x = 144,003.15 × 64,509.30
  4. Step 4: Simplify right side
    96,002.10x = 9,289,542,404.30
  5. Step 5: Solve for x
    x = 9,289,542,404.30/96,002.10
  6. Step 6: Final answer
    x = 96,763.95

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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.