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Finding the Fourth Proportional to 182,803.20, 274,204.80 and 153,934.80

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Solution

The fourth proportional to 182,803.20, 274,204.80 and 153,934.80 is: 230,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,803.20 : 274,204.80 = 153,934.80 : x
  2. Step 2: Convert to fraction form
    182,803.20/274,204.80 = 153,934.80/x
  3. Step 3: Cross multiply
    182,803.20x = 274,204.80 × 153,934.80
  4. Step 4: Simplify right side
    182,803.20x = 42,209,661,047.04
  5. Step 5: Solve for x
    x = 42,209,661,047.04/182,803.20
  6. Step 6: Final answer
    x = 230,902.20

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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.