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Finding the Fourth Proportional to 317,088.72, 475,635.60 and 106,723.60

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Solution

The fourth proportional to 317,088.72, 475,635.60 and 106,723.60 is: 160,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,088.72 : 475,635.60 = 106,723.60 : x
  2. Step 2: Convert to fraction form
    317,088.72/475,635.60 = 106,723.60/x
  3. Step 3: Cross multiply
    317,088.72x = 475,635.60 × 106,723.60
  4. Step 4: Simplify right side
    317,088.72x = 50,761,543,520.16
  5. Step 5: Solve for x
    x = 50,761,543,520.16/317,088.72
  6. Step 6: Final answer
    x = 160,086.25

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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.