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Finding the Fourth Proportional to 231,294.06, 319,068.87 and 154,816.38

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Solution

The fourth proportional to 231,294.06, 319,068.87 and 154,816.38 is: 213,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,294.06 : 319,068.87 = 154,816.38 : x
  2. Step 2: Convert to fraction form
    231,294.06/319,068.87 = 154,816.38/x
  3. Step 3: Cross multiply
    231,294.06x = 319,068.87 × 154,816.38
  4. Step 4: Simplify right side
    231,294.06x = 49,397,087,424.09
  5. Step 5: Solve for x
    x = 49,397,087,424.09/231,294.06
  6. Step 6: Final answer
    x = 213,568.34

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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.