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Finding the Fourth Proportional to 96,180.60, 144,098.10 and 82,356.60

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Solution

The fourth proportional to 96,180.60, 144,098.10 and 82,356.60 is: 123,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,180.60 : 144,098.10 = 82,356.60 : x
  2. Step 2: Convert to fraction form
    96,180.60/144,098.10 = 82,356.60/x
  3. Step 3: Cross multiply
    96,180.60x = 144,098.10 × 82,356.60
  4. Step 4: Simplify right side
    96,180.60x = 11,867,429,582.46
  5. Step 5: Solve for x
    x = 11,867,429,582.46/96,180.60
  6. Step 6: Final answer
    x = 123,386.94

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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.