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Finding the Fourth Proportional to 174,302.60, 261,065.10 and 150,974.60

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Solution

The fourth proportional to 174,302.60, 261,065.10 and 150,974.60 is: 226,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,302.60 : 261,065.10 = 150,974.60 : x
  2. Step 2: Convert to fraction form
    174,302.60/261,065.10 = 150,974.60/x
  3. Step 3: Cross multiply
    174,302.60x = 261,065.10 × 150,974.60
  4. Step 4: Simplify right side
    174,302.60x = 39,414,199,046.46
  5. Step 5: Solve for x
    x = 39,414,199,046.46/174,302.60
  6. Step 6: Final answer
    x = 226,125.14

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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.