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Finding the Fourth Proportional to 132,927.20, 199,390.80 and 83,775.20

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Solution

The fourth proportional to 132,927.20, 199,390.80 and 83,775.20 is: 125,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,927.20 : 199,390.80 = 83,775.20 : x
  2. Step 2: Convert to fraction form
    132,927.20/199,390.80 = 83,775.20/x
  3. Step 3: Cross multiply
    132,927.20x = 199,390.80 × 83,775.20
  4. Step 4: Simplify right side
    132,927.20x = 16,704,004,148.16
  5. Step 5: Solve for x
    x = 16,704,004,148.16/132,927.20
  6. Step 6: Final answer
    x = 125,662.80

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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.