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Finding the Fourth Proportional to 132,413.34, 182,729.64 and 75,063.48

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Solution

The fourth proportional to 132,413.34, 182,729.64 and 75,063.48 is: 103,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413.34 : 182,729.64 = 75,063.48 : x
  2. Step 2: Convert to fraction form
    132,413.34/182,729.64 = 75,063.48/x
  3. Step 3: Cross multiply
    132,413.34x = 182,729.64 × 75,063.48
  4. Step 4: Simplify right side
    132,413.34x = 13,716,322,677.55
  5. Step 5: Solve for x
    x = 13,716,322,677.55/132,413.34
  6. Step 6: Final answer
    x = 103,587.17

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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.