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Finding the Fourth Proportional to 281,127.20, 387,958.40 and 153,800

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Solution

The fourth proportional to 281,127.20, 387,958.40 and 153,800 is: 212,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,127.20 : 387,958.40 = 153,800 : x
  2. Step 2: Convert to fraction form
    281,127.20/387,958.40 = 153,800/x
  3. Step 3: Cross multiply
    281,127.20x = 387,958.40 × 153,800
  4. Step 4: Simplify right side
    281,127.20x = 59,668,001,920
  5. Step 5: Solve for x
    x = 59,668,001,920/281,127.20
  6. Step 6: Final answer
    x = 212,245.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.