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Finding the Fourth Proportional to 147,940.80, 221,473.80 and 132,194.40

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Solution

The fourth proportional to 147,940.80, 221,473.80 and 132,194.40 is: 197,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,940.80 : 221,473.80 = 132,194.40 : x
  2. Step 2: Convert to fraction form
    147,940.80/221,473.80 = 132,194.40/x
  3. Step 3: Cross multiply
    147,940.80x = 221,473.80 × 132,194.40
  4. Step 4: Simplify right side
    147,940.80x = 29,277,596,106.72
  5. Step 5: Solve for x
    x = 29,277,596,106.72/147,940.80
  6. Step 6: Final answer
    x = 197,900.76

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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.