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Finding the Fourth Proportional to 231,759.36, 319,854.86 and 141,168.36

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Solution

The fourth proportional to 231,759.36, 319,854.86 and 141,168.36 is: 194,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,759.36 : 319,854.86 = 141,168.36 : x
  2. Step 2: Convert to fraction form
    231,759.36/319,854.86 = 141,168.36/x
  3. Step 3: Cross multiply
    231,759.36x = 319,854.86 × 141,168.36
  4. Step 4: Simplify right side
    231,759.36x = 45,153,386,024.23
  5. Step 5: Solve for x
    x = 45,153,386,024.23/231,759.36
  6. Step 6: Final answer
    x = 194,828.75

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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.