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Finding the Fourth Proportional to 90,187.80, 135,166.68 and 42,802.80

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Solution

The fourth proportional to 90,187.80, 135,166.68 and 42,802.80 is: 64,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,187.80 : 135,166.68 = 42,802.80 : x
  2. Step 2: Convert to fraction form
    90,187.80/135,166.68 = 42,802.80/x
  3. Step 3: Cross multiply
    90,187.80x = 135,166.68 × 42,802.80
  4. Step 4: Simplify right side
    90,187.80x = 5,785,512,370.70
  5. Step 5: Solve for x
    x = 5,785,512,370.70/90,187.80
  6. Step 6: Final answer
    x = 64,149.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.