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Finding the Fourth Proportional to 274,625.64, 411,938.56 and 132,444.42

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Solution

The fourth proportional to 274,625.64, 411,938.56 and 132,444.42 is: 198,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,625.64 : 411,938.56 = 132,444.42 : x
  2. Step 2: Convert to fraction form
    274,625.64/411,938.56 = 132,444.42/x
  3. Step 3: Cross multiply
    274,625.64x = 411,938.56 × 132,444.42
  4. Step 4: Simplify right side
    274,625.64x = 54,558,962,275.62
  5. Step 5: Solve for x
    x = 54,558,962,275.62/274,625.64
  6. Step 6: Final answer
    x = 198,666.67

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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.