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Finding the Fourth Proportional to 256,817.70, 385,292.16 and 99,003.78

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Solution

The fourth proportional to 256,817.70, 385,292.16 and 99,003.78 is: 148,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,817.70 : 385,292.16 = 99,003.78 : x
  2. Step 2: Convert to fraction form
    256,817.70/385,292.16 = 99,003.78/x
  3. Step 3: Cross multiply
    256,817.70x = 385,292.16 × 99,003.78
  4. Step 4: Simplify right side
    256,817.70x = 38,145,380,244.36
  5. Step 5: Solve for x
    x = 38,145,380,244.36/256,817.70
  6. Step 6: Final answer
    x = 148,530.96

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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.