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Finding the Fourth Proportional to 132,046.80, 197,801.40 and 81,973.20

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Solution

The fourth proportional to 132,046.80, 197,801.40 and 81,973.20 is: 122,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,046.80 : 197,801.40 = 81,973.20 : x
  2. Step 2: Convert to fraction form
    132,046.80/197,801.40 = 81,973.20/x
  3. Step 3: Cross multiply
    132,046.80x = 197,801.40 × 81,973.20
  4. Step 4: Simplify right side
    132,046.80x = 16,214,413,722.48
  5. Step 5: Solve for x
    x = 16,214,413,722.48/132,046.80
  6. Step 6: Final answer
    x = 122,792.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.