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Finding the Fourth Proportional to 281,371, 422,160.18 and 148,245.88

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Solution

The fourth proportional to 281,371, 422,160.18 and 148,245.88 is: 222,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,371 : 422,160.18 = 148,245.88 : x
  2. Step 2: Convert to fraction form
    281,371/422,160.18 = 148,245.88/x
  3. Step 3: Cross multiply
    281,371x = 422,160.18 × 148,245.88
  4. Step 4: Simplify right side
    281,371x = 62,583,507,385.06
  5. Step 5: Solve for x
    x = 62,583,507,385.06/281,371
  6. Step 6: Final answer
    x = 222,423.45

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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.