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Finding the Fourth Proportional to 231,173.69, 319,018.55 and 129,199.05

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Solution

The fourth proportional to 231,173.69, 319,018.55 and 129,199.05 is: 178,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,173.69 : 319,018.55 = 129,199.05 : x
  2. Step 2: Convert to fraction form
    231,173.69/319,018.55 = 129,199.05/x
  3. Step 3: Cross multiply
    231,173.69x = 319,018.55 × 129,199.05
  4. Step 4: Simplify right side
    231,173.69x = 41,216,892,946.38
  5. Step 5: Solve for x
    x = 41,216,892,946.38/231,173.69
  6. Step 6: Final answer
    x = 178,294.05

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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.