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Finding the Fourth Proportional to 231,599.59, 319,512.26 and 140,940.68

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Solution

The fourth proportional to 231,599.59, 319,512.26 and 140,940.68 is: 194,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,599.59 : 319,512.26 = 140,940.68 : x
  2. Step 2: Convert to fraction form
    231,599.59/319,512.26 = 140,940.68/x
  3. Step 3: Cross multiply
    231,599.59x = 319,512.26 × 140,940.68
  4. Step 4: Simplify right side
    231,599.59x = 45,032,273,947.53
  5. Step 5: Solve for x
    x = 45,032,273,947.53/231,599.59
  6. Step 6: Final answer
    x = 194,440.22

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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.