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Finding the Fourth Proportional to 135,722.46, 187,297.47 and 75,294.30

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Solution

The fourth proportional to 135,722.46, 187,297.47 and 75,294.30 is: 103,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,722.46 : 187,297.47 = 75,294.30 : x
  2. Step 2: Convert to fraction form
    135,722.46/187,297.47 = 75,294.30/x
  3. Step 3: Cross multiply
    135,722.46x = 187,297.47 × 75,294.30
  4. Step 4: Simplify right side
    135,722.46x = 14,102,431,895.42
  5. Step 5: Solve for x
    x = 14,102,431,895.42/135,722.46
  6. Step 6: Final answer
    x = 103,906.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.