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Finding the Fourth Proportional to 182,851.70, 274,277.55 and 153,983.30

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Solution

The fourth proportional to 182,851.70, 274,277.55 and 153,983.30 is: 230,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,851.70 : 274,277.55 = 153,983.30 : x
  2. Step 2: Convert to fraction form
    182,851.70/274,277.55 = 153,983.30/x
  3. Step 3: Cross multiply
    182,851.70x = 274,277.55 × 153,983.30
  4. Step 4: Simplify right side
    182,851.70x = 42,234,162,264.92
  5. Step 5: Solve for x
    x = 42,234,162,264.92/182,851.70
  6. Step 6: Final answer
    x = 230,974.95

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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.