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Finding the Fourth Proportional to 102,125.13, 140,932.67 and 57,413.13

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Solution

The fourth proportional to 102,125.13, 140,932.67 and 57,413.13 is: 79,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.13 : 140,932.67 = 57,413.13 : x
  2. Step 2: Convert to fraction form
    102,125.13/140,932.67 = 57,413.13/x
  3. Step 3: Cross multiply
    102,125.13x = 140,932.67 × 57,413.13
  4. Step 4: Simplify right side
    102,125.13x = 8,091,385,703.96
  5. Step 5: Solve for x
    x = 8,091,385,703.96/102,125.13
  6. Step 6: Final answer
    x = 79,230.11

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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.