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Finding the Fourth Proportional to 132,842.66, 183,322.68 and 72,413.42

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Solution

The fourth proportional to 132,842.66, 183,322.68 and 72,413.42 is: 99,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,842.66 : 183,322.68 = 72,413.42 : x
  2. Step 2: Convert to fraction form
    132,842.66/183,322.68 = 72,413.42/x
  3. Step 3: Cross multiply
    132,842.66x = 183,322.68 × 72,413.42
  4. Step 4: Simplify right side
    132,842.66x = 13,275,022,222.37
  5. Step 5: Solve for x
    x = 13,275,022,222.37/132,842.66
  6. Step 6: Final answer
    x = 99,930.42

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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.