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Finding the Fourth Proportional to 231,308.70, 319,188.24 and 140,652.24

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Solution

The fourth proportional to 231,308.70, 319,188.24 and 140,652.24 is: 194,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,308.70 : 319,188.24 = 140,652.24 : x
  2. Step 2: Convert to fraction form
    231,308.70/319,188.24 = 140,652.24/x
  3. Step 3: Cross multiply
    231,308.70x = 319,188.24 × 140,652.24
  4. Step 4: Simplify right side
    231,308.70x = 44,894,540,937.66
  5. Step 5: Solve for x
    x = 44,894,540,937.66/231,308.70
  6. Step 6: Final answer
    x = 194,089.29

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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.