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Finding the Fourth Proportional to 317,088.96, 475,703.52 and 106,720

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Solution

The fourth proportional to 317,088.96, 475,703.52 and 106,720 is: 160,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,088.96 : 475,703.52 = 106,720 : x
  2. Step 2: Convert to fraction form
    317,088.96/475,703.52 = 106,720/x
  3. Step 3: Cross multiply
    317,088.96x = 475,703.52 × 106,720
  4. Step 4: Simplify right side
    317,088.96x = 50,767,079,654.40
  5. Step 5: Solve for x
    x = 50,767,079,654.40/317,088.96
  6. Step 6: Final answer
    x = 160,103.59

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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.