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Finding the Fourth Proportional to 231,565.80, 319,623.66 and 136,103.16

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Solution

The fourth proportional to 231,565.80, 319,623.66 and 136,103.16 is: 187,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,565.80 : 319,623.66 = 136,103.16 : x
  2. Step 2: Convert to fraction form
    231,565.80/319,623.66 = 136,103.16/x
  3. Step 3: Cross multiply
    231,565.80x = 319,623.66 × 136,103.16
  4. Step 4: Simplify right side
    231,565.80x = 43,501,790,136.77
  5. Step 5: Solve for x
    x = 43,501,790,136.77/231,565.80
  6. Step 6: Final answer
    x = 187,859.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.