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Finding the Fourth Proportional to 132,197.54, 182,365.02 and 84,400.65

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Solution

The fourth proportional to 132,197.54, 182,365.02 and 84,400.65 is: 116,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,197.54 : 182,365.02 = 84,400.65 : x
  2. Step 2: Convert to fraction form
    132,197.54/182,365.02 = 84,400.65/x
  3. Step 3: Cross multiply
    132,197.54x = 182,365.02 × 84,400.65
  4. Step 4: Simplify right side
    132,197.54x = 15,391,726,225.26
  5. Step 5: Solve for x
    x = 15,391,726,225.26/132,197.54
  6. Step 6: Final answer
    x = 116,429.75

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