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Finding the Fourth Proportional to 132,842.61, 183,322.85 and 72,413.19

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Solution

The fourth proportional to 132,842.61, 183,322.85 and 72,413.19 is: 99,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,842.61 : 183,322.85 = 72,413.19 : x
  2. Step 2: Convert to fraction form
    132,842.61/183,322.85 = 72,413.19/x
  3. Step 3: Cross multiply
    132,842.61x = 183,322.85 × 72,413.19
  4. Step 4: Simplify right side
    132,842.61x = 13,274,992,006.33
  5. Step 5: Solve for x
    x = 13,274,992,006.33/132,842.61
  6. Step 6: Final answer
    x = 99,930.23

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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.