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Finding the Fourth Proportional to 119,310.38, 164,649.45 and 65,595.77

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Solution

The fourth proportional to 119,310.38, 164,649.45 and 65,595.77 is: 90,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,310.38 : 164,649.45 = 65,595.77 : x
  2. Step 2: Convert to fraction form
    119,310.38/164,649.45 = 65,595.77/x
  3. Step 3: Cross multiply
    119,310.38x = 164,649.45 × 65,595.77
  4. Step 4: Simplify right side
    119,310.38x = 10,800,307,452.83
  5. Step 5: Solve for x
    x = 10,800,307,452.83/119,310.38
  6. Step 6: Final answer
    x = 90,522.78

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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.