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Finding the Fourth Proportional to 231,885.60, 319,853.44 and 159,253.44

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Solution

The fourth proportional to 231,885.60, 319,853.44 and 159,253.44 is: 219,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,885.60 : 319,853.44 = 159,253.44 : x
  2. Step 2: Convert to fraction form
    231,885.60/319,853.44 = 159,253.44/x
  3. Step 3: Cross multiply
    231,885.60x = 319,853.44 × 159,253.44
  4. Step 4: Simplify right side
    231,885.60x = 50,937,760,615.83
  5. Step 5: Solve for x
    x = 50,937,760,615.83/231,885.60
  6. Step 6: Final answer
    x = 219,667.63

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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.