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Finding the Fourth Proportional to 174,861.57, 262,554.80 and 100,066.17

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Solution

The fourth proportional to 174,861.57, 262,554.80 and 100,066.17 is: 150,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,861.57 : 262,554.80 = 100,066.17 : x
  2. Step 2: Convert to fraction form
    174,861.57/262,554.80 = 100,066.17/x
  3. Step 3: Cross multiply
    174,861.57x = 262,554.80 × 100,066.17
  4. Step 4: Simplify right side
    174,861.57x = 26,272,853,251.12
  5. Step 5: Solve for x
    x = 26,272,853,251.12/174,861.57
  6. Step 6: Final answer
    x = 150,249.44

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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.