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Finding the Fourth Proportional to 102,335.71, 141,233.66 and 57,021.07

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Solution

The fourth proportional to 102,335.71, 141,233.66 and 57,021.07 is: 78,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,335.71 : 141,233.66 = 57,021.07 : x
  2. Step 2: Convert to fraction form
    102,335.71/141,233.66 = 57,021.07/x
  3. Step 3: Cross multiply
    102,335.71x = 141,233.66 × 57,021.07
  4. Step 4: Simplify right side
    102,335.71x = 8,053,294,413.22
  5. Step 5: Solve for x
    x = 8,053,294,413.22/102,335.71
  6. Step 6: Final answer
    x = 78,694.86

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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.