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Finding the Fourth Proportional to 256,800.30, 385,309.80 and 162,103.20

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Solution

The fourth proportional to 256,800.30, 385,309.80 and 162,103.20 is: 243,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,800.30 : 385,309.80 = 162,103.20 : x
  2. Step 2: Convert to fraction form
    256,800.30/385,309.80 = 162,103.20/x
  3. Step 3: Cross multiply
    256,800.30x = 385,309.80 × 162,103.20
  4. Step 4: Simplify right side
    256,800.30x = 62,459,951,571.36
  5. Step 5: Solve for x
    x = 62,459,951,571.36/256,800.30
  6. Step 6: Final answer
    x = 243,223.83

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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.