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Finding the Fourth Proportional to 265,068.10, 397,542.48 and 75,524.59

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Solution

The fourth proportional to 265,068.10, 397,542.48 and 75,524.59 is: 113,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,068.10 : 397,542.48 = 75,524.59 : x
  2. Step 2: Convert to fraction form
    265,068.10/397,542.48 = 75,524.59/x
  3. Step 3: Cross multiply
    265,068.10x = 397,542.48 × 75,524.59
  4. Step 4: Simplify right side
    265,068.10x = 30,024,232,809.58
  5. Step 5: Solve for x
    x = 30,024,232,809.58/265,068.10
  6. Step 6: Final answer
    x = 113,269.88

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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.