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Finding the Fourth Proportional to 132,413.82, 182,728.89 and 71,985.96

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Solution

The fourth proportional to 132,413.82, 182,728.89 and 71,985.96 is: 99,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413.82 : 182,728.89 = 71,985.96 : x
  2. Step 2: Convert to fraction form
    132,413.82/182,728.89 = 71,985.96/x
  3. Step 3: Cross multiply
    132,413.82x = 182,728.89 × 71,985.96
  4. Step 4: Simplify right side
    132,413.82x = 13,153,914,566.38
  5. Step 5: Solve for x
    x = 13,153,914,566.38/132,413.82
  6. Step 6: Final answer
    x = 99,339.44

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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.