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Finding the Fourth Proportional to 182,963.92, 274,445.24 and 120,180.24

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Solution

The fourth proportional to 182,963.92, 274,445.24 and 120,180.24 is: 180,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,963.92 : 274,445.24 = 120,180.24 : x
  2. Step 2: Convert to fraction form
    182,963.92/274,445.24 = 120,180.24/x
  3. Step 3: Cross multiply
    182,963.92x = 274,445.24 × 120,180.24
  4. Step 4: Simplify right side
    182,963.92x = 32,982,894,810.06
  5. Step 5: Solve for x
    x = 32,982,894,810.06/182,963.92
  6. Step 6: Final answer
    x = 180,269.94

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1.5x scale

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.