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Finding the Fourth Proportional to 119,897.85, 165,458.22 and 65,449.80

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Solution

The fourth proportional to 119,897.85, 165,458.22 and 65,449.80 is: 90,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,897.85 : 165,458.22 = 65,449.80 : x
  2. Step 2: Convert to fraction form
    119,897.85/165,458.22 = 65,449.80/x
  3. Step 3: Cross multiply
    119,897.85x = 165,458.22 × 65,449.80
  4. Step 4: Simplify right side
    119,897.85x = 10,829,207,407.36
  5. Step 5: Solve for x
    x = 10,829,207,407.36/119,897.85
  6. Step 6: Final answer
    x = 90,320.28

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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.