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Finding the Fourth Proportional to 119,698.77, 165,184.74 and 65,250.66

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Solution

The fourth proportional to 119,698.77, 165,184.74 and 65,250.66 is: 90,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,698.77 : 165,184.74 = 65,250.66 : x
  2. Step 2: Convert to fraction form
    119,698.77/165,184.74 = 65,250.66/x
  3. Step 3: Cross multiply
    119,698.77x = 165,184.74 × 65,250.66
  4. Step 4: Simplify right side
    119,698.77x = 10,778,413,306.93
  5. Step 5: Solve for x
    x = 10,778,413,306.93/119,698.77
  6. Step 6: Final answer
    x = 90,046.15

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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.