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Finding the Fourth Proportional to 193,647.40, 290,471.10 and 146,408.20

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Solution

The fourth proportional to 193,647.40, 290,471.10 and 146,408.20 is: 219,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,647.40 : 290,471.10 = 146,408.20 : x
  2. Step 2: Convert to fraction form
    193,647.40/290,471.10 = 146,408.20/x
  3. Step 3: Cross multiply
    193,647.40x = 290,471.10 × 146,408.20
  4. Step 4: Simplify right side
    193,647.40x = 42,527,350,903.02
  5. Step 5: Solve for x
    x = 42,527,350,903.02/193,647.40
  6. Step 6: Final answer
    x = 219,612.30

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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.