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Finding the Fourth Proportional to 256,211.20, 384,374.40 and 78,726.40

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Solution

The fourth proportional to 256,211.20, 384,374.40 and 78,726.40 is: 118,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,211.20 : 384,374.40 = 78,726.40 : x
  2. Step 2: Convert to fraction form
    256,211.20/384,374.40 = 78,726.40/x
  3. Step 3: Cross multiply
    256,211.20x = 384,374.40 × 78,726.40
  4. Step 4: Simplify right side
    256,211.20x = 30,260,412,764.16
  5. Step 5: Solve for x
    x = 30,260,412,764.16/256,211.20
  6. Step 6: Final answer
    x = 118,107.30

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1.5x scale

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.