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Finding the Fourth Proportional to 185,842.76, 256,464.02 and 114,269.54

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Solution

The fourth proportional to 185,842.76, 256,464.02 and 114,269.54 is: 157,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,842.76 : 256,464.02 = 114,269.54 : x
  2. Step 2: Convert to fraction form
    185,842.76/256,464.02 = 114,269.54/x
  3. Step 3: Cross multiply
    185,842.76x = 256,464.02 × 114,269.54
  4. Step 4: Simplify right side
    185,842.76x = 29,306,024,595.30
  5. Step 5: Solve for x
    x = 29,306,024,595.30/185,842.76
  6. Step 6: Final answer
    x = 157,692.59

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1.5x scale

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.