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Finding the Fourth Proportional to 159,475.40, 239,213.10 and 48,667.40

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Solution

The fourth proportional to 159,475.40, 239,213.10 and 48,667.40 is: 73,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,475.40 : 239,213.10 = 48,667.40 : x
  2. Step 2: Convert to fraction form
    159,475.40/239,213.10 = 48,667.40/x
  3. Step 3: Cross multiply
    159,475.40x = 239,213.10 × 48,667.40
  4. Step 4: Simplify right side
    159,475.40x = 11,641,879,622.94
  5. Step 5: Solve for x
    x = 11,641,879,622.94/159,475.40
  6. Step 6: Final answer
    x = 73,001.10

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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.