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Finding the Fourth Proportional to 231,266.80, 319,201.50 and 150,553.74

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Solution

The fourth proportional to 231,266.80, 319,201.50 and 150,553.74 is: 207,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,266.80 : 319,201.50 = 150,553.74 : x
  2. Step 2: Convert to fraction form
    231,266.80/319,201.50 = 150,553.74/x
  3. Step 3: Cross multiply
    231,266.80x = 319,201.50 × 150,553.74
  4. Step 4: Simplify right side
    231,266.80x = 48,056,979,638.61
  5. Step 5: Solve for x
    x = 48,056,979,638.61/231,266.80
  6. Step 6: Final answer
    x = 207,798.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.