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Finding the Fourth Proportional to 231,369.62, 319,324.29 and 146,494.58

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Solution

The fourth proportional to 231,369.62, 319,324.29 and 146,494.58 is: 202,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,369.62 : 319,324.29 = 146,494.58 : x
  2. Step 2: Convert to fraction form
    231,369.62/319,324.29 = 146,494.58/x
  3. Step 3: Cross multiply
    231,369.62x = 319,324.29 × 146,494.58
  4. Step 4: Simplify right side
    231,369.62x = 46,779,277,747.35
  5. Step 5: Solve for x
    x = 46,779,277,747.35/231,369.62
  6. Step 6: Final answer
    x = 202,184.18

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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.