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Finding the Fourth Proportional to 120,413.68, 180,737.16 and 58,127.92

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Solution

The fourth proportional to 120,413.68, 180,737.16 and 58,127.92 is: 87,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,413.68 : 180,737.16 = 58,127.92 : x
  2. Step 2: Convert to fraction form
    120,413.68/180,737.16 = 58,127.92/x
  3. Step 3: Cross multiply
    120,413.68x = 180,737.16 × 58,127.92
  4. Step 4: Simplify right side
    120,413.68x = 10,505,875,177.51
  5. Step 5: Solve for x
    x = 10,505,875,177.51/120,413.68
  6. Step 6: Final answer
    x = 87,248.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.