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Finding the Fourth Proportional to 185,755.24, 256,226.19 and 154,631.15

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Solution

The fourth proportional to 185,755.24, 256,226.19 and 154,631.15 is: 213,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,755.24 : 256,226.19 = 154,631.15 : x
  2. Step 2: Convert to fraction form
    185,755.24/256,226.19 = 154,631.15/x
  3. Step 3: Cross multiply
    185,755.24x = 256,226.19 × 154,631.15
  4. Step 4: Simplify right side
    185,755.24x = 39,620,550,240.31
  5. Step 5: Solve for x
    x = 39,620,550,240.31/185,755.24
  6. Step 6: Final answer
    x = 213,294.39

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Why These Related Problems?

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