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Finding the Fourth Proportional to 96,312.30, 144,468.45 and 84,648.30

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Solution

The fourth proportional to 96,312.30, 144,468.45 and 84,648.30 is: 126,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,312.30 : 144,468.45 = 84,648.30 : x
  2. Step 2: Convert to fraction form
    96,312.30/144,468.45 = 84,648.30/x
  3. Step 3: Cross multiply
    96,312.30x = 144,468.45 × 84,648.30
  4. Step 4: Simplify right side
    96,312.30x = 12,229,008,696.14
  5. Step 5: Solve for x
    x = 12,229,008,696.14/96,312.30
  6. Step 6: Final answer
    x = 126,972.45

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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.