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Finding the Fourth Proportional to 194,937.80, 292,559.78 and 100,164.15

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Solution

The fourth proportional to 194,937.80, 292,559.78 and 100,164.15 is: 150,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,937.80 : 292,559.78 = 100,164.15 : x
  2. Step 2: Convert to fraction form
    194,937.80/292,559.78 = 100,164.15/x
  3. Step 3: Cross multiply
    194,937.80x = 292,559.78 × 100,164.15
  4. Step 4: Simplify right side
    194,937.80x = 29,304,001,938.30
  5. Step 5: Solve for x
    x = 29,304,001,938.30/194,937.80
  6. Step 6: Final answer
    x = 150,324.89

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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.