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Finding the Fourth Proportional to 231,855.88, 319,973.10 and 129,875.38

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Solution

The fourth proportional to 231,855.88, 319,973.10 and 129,875.38 is: 179,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,855.88 : 319,973.10 = 129,875.38 : x
  2. Step 2: Convert to fraction form
    231,855.88/319,973.10 = 129,875.38/x
  3. Step 3: Cross multiply
    231,855.88x = 319,973.10 × 129,875.38
  4. Step 4: Simplify right side
    231,855.88x = 41,556,627,952.28
  5. Step 5: Solve for x
    x = 41,556,627,952.28/231,855.88
  6. Step 6: Final answer
    x = 179,234.74

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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.