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Finding the Fourth Proportional to 231,019.85, 318,719.71 and 150,516.38

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Solution

The fourth proportional to 231,019.85, 318,719.71 and 150,516.38 is: 207,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,019.85 : 318,719.71 = 150,516.38 : x
  2. Step 2: Convert to fraction form
    231,019.85/318,719.71 = 150,516.38/x
  3. Step 3: Cross multiply
    231,019.85x = 318,719.71 × 150,516.38
  4. Step 4: Simplify right side
    231,019.85x = 47,972,537,404.36
  5. Step 5: Solve for x
    x = 47,972,537,404.36/231,019.85
  6. Step 6: Final answer
    x = 207,655.48

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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.