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Finding the Fourth Proportional to 317,058.48, 475,660.56 and 106,690.80

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Solution

The fourth proportional to 317,058.48, 475,660.56 and 106,690.80 is: 160,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,058.48 : 475,660.56 = 106,690.80 : x
  2. Step 2: Convert to fraction form
    317,058.48/475,660.56 = 106,690.80/x
  3. Step 3: Cross multiply
    317,058.48x = 475,660.56 × 106,690.80
  4. Step 4: Simplify right side
    317,058.48x = 50,748,605,674.85
  5. Step 5: Solve for x
    x = 50,748,605,674.85/317,058.48
  6. Step 6: Final answer
    x = 160,060.71

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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.