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Finding the Fourth Proportional to 132,124.60, 198,417.30 and 127,977.40

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Solution

The fourth proportional to 132,124.60, 198,417.30 and 127,977.40 is: 192,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,124.60 : 198,417.30 = 127,977.40 : x
  2. Step 2: Convert to fraction form
    132,124.60/198,417.30 = 127,977.40/x
  3. Step 3: Cross multiply
    132,124.60x = 198,417.30 × 127,977.40
  4. Step 4: Simplify right side
    132,124.60x = 25,392,930,169.02
  5. Step 5: Solve for x
    x = 25,392,930,169.02/132,124.60
  6. Step 6: Final answer
    x = 192,189.27

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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.