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Finding the Fourth Proportional to 256,930.80, 385,463.40 and 99,164.40

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Solution

The fourth proportional to 256,930.80, 385,463.40 and 99,164.40 is: 148,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,930.80 : 385,463.40 = 99,164.40 : x
  2. Step 2: Convert to fraction form
    256,930.80/385,463.40 = 99,164.40/x
  3. Step 3: Cross multiply
    256,930.80x = 385,463.40 × 99,164.40
  4. Step 4: Simplify right side
    256,930.80x = 38,224,246,782.96
  5. Step 5: Solve for x
    x = 38,224,246,782.96/256,930.80
  6. Step 6: Final answer
    x = 148,772.54

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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.