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Finding the Fourth Proportional to 256,949.38, 385,202.58 and 99,288.46

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Solution

The fourth proportional to 256,949.38, 385,202.58 and 99,288.46 is: 148,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,949.38 : 385,202.58 = 99,288.46 : x
  2. Step 2: Convert to fraction form
    256,949.38/385,202.58 = 99,288.46/x
  3. Step 3: Cross multiply
    256,949.38x = 385,202.58 × 99,288.46
  4. Step 4: Simplify right side
    256,949.38x = 38,246,170,956.23
  5. Step 5: Solve for x
    x = 38,246,170,956.23/256,949.38
  6. Step 6: Final answer
    x = 148,847.10

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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.