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Finding the Fourth Proportional to 119,166.65, 164,451.33 and 65,452.92

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Solution

The fourth proportional to 119,166.65, 164,451.33 and 65,452.92 is: 90,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,166.65 : 164,451.33 = 65,452.92 : x
  2. Step 2: Convert to fraction form
    119,166.65/164,451.33 = 65,452.92/x
  3. Step 3: Cross multiply
    119,166.65x = 164,451.33 × 65,452.92
  4. Step 4: Simplify right side
    119,166.65x = 10,763,819,746.38
  5. Step 5: Solve for x
    x = 10,763,819,746.38/119,166.65
  6. Step 6: Final answer
    x = 90,325.77

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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.