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Finding the Fourth Proportional to 231,759.69, 319,828.33 and 128,400.65

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Solution

The fourth proportional to 231,759.69, 319,828.33 and 128,400.65 is: 177,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,759.69 : 319,828.33 = 128,400.65 : x
  2. Step 2: Convert to fraction form
    231,759.69/319,828.33 = 128,400.65/x
  3. Step 3: Cross multiply
    231,759.69x = 319,828.33 × 128,400.65
  4. Step 4: Simplify right side
    231,759.69x = 41,066,165,460.41
  5. Step 5: Solve for x
    x = 41,066,165,460.41/231,759.69
  6. Step 6: Final answer
    x = 177,192.87

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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.