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Finding the Fourth Proportional to 120,413.46, 166,154.82 and 69,428.10

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Solution

The fourth proportional to 120,413.46, 166,154.82 and 69,428.10 is: 95,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,413.46 : 166,154.82 = 69,428.10 : x
  2. Step 2: Convert to fraction form
    120,413.46/166,154.82 = 69,428.10/x
  3. Step 3: Cross multiply
    120,413.46x = 166,154.82 × 69,428.10
  4. Step 4: Simplify right side
    120,413.46x = 11,535,813,458.44
  5. Step 5: Solve for x
    x = 11,535,813,458.44/120,413.46
  6. Step 6: Final answer
    x = 95,801.69

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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.