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Finding the Fourth Proportional to 223,821.40, 335,732.10 and 76,077.40

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Solution

The fourth proportional to 223,821.40, 335,732.10 and 76,077.40 is: 114,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,821.40 : 335,732.10 = 76,077.40 : x
  2. Step 2: Convert to fraction form
    223,821.40/335,732.10 = 76,077.40/x
  3. Step 3: Cross multiply
    223,821.40x = 335,732.10 × 76,077.40
  4. Step 4: Simplify right side
    223,821.40x = 25,541,625,264.54
  5. Step 5: Solve for x
    x = 25,541,625,264.54/223,821.40
  6. Step 6: Final answer
    x = 114,116.10

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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.