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Finding the Fourth Proportional to 281,881.95, 422,622.05 and 132,040.50

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Solution

The fourth proportional to 281,881.95, 422,622.05 and 132,040.50 is: 197,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,881.95 : 422,622.05 = 132,040.50 : x
  2. Step 2: Convert to fraction form
    281,881.95/422,622.05 = 132,040.50/x
  3. Step 3: Cross multiply
    281,881.95x = 422,622.05 × 132,040.50
  4. Step 4: Simplify right side
    281,881.95x = 55,803,226,793.03
  5. Step 5: Solve for x
    x = 55,803,226,793.03/281,881.95
  6. Step 6: Final answer
    x = 197,966.66

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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.