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Finding the Fourth Proportional to 119,165.65, 164,449.95 and 65,451.92

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Solution

The fourth proportional to 119,165.65, 164,449.95 and 65,451.92 is: 90,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,165.65 : 164,449.95 = 65,451.92 : x
  2. Step 2: Convert to fraction form
    119,165.65/164,449.95 = 65,451.92/x
  3. Step 3: Cross multiply
    119,165.65x = 164,449.95 × 65,451.92
  4. Step 4: Simplify right side
    119,165.65x = 10,763,564,149.15
  5. Step 5: Solve for x
    x = 10,763,564,149.15/119,165.65
  6. Step 6: Final answer
    x = 90,324.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.