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Finding the Fourth Proportional to 102,097.72, 140,854.98 and 75,304

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Solution

The fourth proportional to 102,097.72, 140,854.98 and 75,304 is: 103,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097.72 : 140,854.98 = 75,304 : x
  2. Step 2: Convert to fraction form
    102,097.72/140,854.98 = 75,304/x
  3. Step 3: Cross multiply
    102,097.72x = 140,854.98 × 75,304
  4. Step 4: Simplify right side
    102,097.72x = 10,606,943,413.92
  5. Step 5: Solve for x
    x = 10,606,943,413.92/102,097.72
  6. Step 6: Final answer
    x = 103,890.11

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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.