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Finding the Fourth Proportional to 119,166.59, 164,451.24 and 65,452.86

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Solution

The fourth proportional to 119,166.59, 164,451.24 and 65,452.86 is: 90,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,166.59 : 164,451.24 = 65,452.86 : x
  2. Step 2: Convert to fraction form
    119,166.59/164,451.24 = 65,452.86/x
  3. Step 3: Cross multiply
    119,166.59x = 164,451.24 × 65,452.86
  4. Step 4: Simplify right side
    119,166.59x = 10,763,803,988.55
  5. Step 5: Solve for x
    x = 10,763,803,988.55/119,166.59
  6. Step 6: Final answer
    x = 90,325.69

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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.