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Finding the Fourth Proportional to 107,413.38, 148,230.36 and 59,671.20

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Solution

The fourth proportional to 107,413.38, 148,230.36 and 59,671.20 is: 82,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,413.38 : 148,230.36 = 59,671.20 : x
  2. Step 2: Convert to fraction form
    107,413.38/148,230.36 = 59,671.20/x
  3. Step 3: Cross multiply
    107,413.38x = 148,230.36 × 59,671.20
  4. Step 4: Simplify right side
    107,413.38x = 8,845,083,457.63
  5. Step 5: Solve for x
    x = 8,845,083,457.63/107,413.38
  6. Step 6: Final answer
    x = 82,346.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.