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Finding the Fourth Proportional to 281,882.51, 422,622.89 and 132,041.06

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Solution

The fourth proportional to 281,882.51, 422,622.89 and 132,041.06 is: 197,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,882.51 : 422,622.89 = 132,041.06 : x
  2. Step 2: Convert to fraction form
    281,882.51/422,622.89 = 132,041.06/x
  3. Step 3: Cross multiply
    281,882.51x = 422,622.89 × 132,041.06
  4. Step 4: Simplify right side
    281,882.51x = 55,803,574,375.86
  5. Step 5: Solve for x
    x = 55,803,574,375.86/281,882.51
  6. Step 6: Final answer
    x = 197,967.49

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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.