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Finding the Fourth Proportional to 231,595.75, 319,602.14 and 125,611.75

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Solution

The fourth proportional to 231,595.75, 319,602.14 and 125,611.75 is: 173,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,595.75 : 319,602.14 = 125,611.75 : x
  2. Step 2: Convert to fraction form
    231,595.75/319,602.14 = 125,611.75/x
  3. Step 3: Cross multiply
    231,595.75x = 319,602.14 × 125,611.75
  4. Step 4: Simplify right side
    231,595.75x = 40,145,784,109.15
  5. Step 5: Solve for x
    x = 40,145,784,109.15/231,595.75
  6. Step 6: Final answer
    x = 173,344.22

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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.