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Finding the Fourth Proportional to 182,738.48, 274,140.12 and 64,478.48

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Solution

The fourth proportional to 182,738.48, 274,140.12 and 64,478.48 is: 96,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,738.48 : 274,140.12 = 64,478.48 : x
  2. Step 2: Convert to fraction form
    182,738.48/274,140.12 = 64,478.48/x
  3. Step 3: Cross multiply
    182,738.48x = 274,140.12 × 64,478.48
  4. Step 4: Simplify right side
    182,738.48x = 17,676,138,244.62
  5. Step 5: Solve for x
    x = 17,676,138,244.62/182,738.48
  6. Step 6: Final answer
    x = 96,729.15

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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.