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Finding the Fourth Proportional to 274,909.68, 412,551.33 and 148,588.66

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Solution

The fourth proportional to 274,909.68, 412,551.33 and 148,588.66 is: 222,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,909.68 : 412,551.33 = 148,588.66 : x
  2. Step 2: Convert to fraction form
    274,909.68/412,551.33 = 148,588.66/x
  3. Step 3: Cross multiply
    274,909.68x = 412,551.33 × 148,588.66
  4. Step 4: Simplify right side
    274,909.68x = 61,300,449,264.40
  5. Step 5: Solve for x
    x = 61,300,449,264.40/274,909.68
  6. Step 6: Final answer
    x = 222,983.96

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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.