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Finding the Fourth Proportional to 174,701.80, 261,923.10 and 74,780.20

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Solution

The fourth proportional to 174,701.80, 261,923.10 and 74,780.20 is: 112,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,701.80 : 261,923.10 = 74,780.20 : x
  2. Step 2: Convert to fraction form
    174,701.80/261,923.10 = 74,780.20/x
  3. Step 3: Cross multiply
    174,701.80x = 261,923.10 × 74,780.20
  4. Step 4: Simplify right side
    174,701.80x = 19,586,661,802.62
  5. Step 5: Solve for x
    x = 19,586,661,802.62/174,701.80
  6. Step 6: Final answer
    x = 112,114.83

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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.