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Finding the Fourth Proportional to 317,135.52, 475,703.28 and 106,755.84

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Solution

The fourth proportional to 317,135.52, 475,703.28 and 106,755.84 is: 160,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,135.52 : 475,703.28 = 106,755.84 : x
  2. Step 2: Convert to fraction form
    317,135.52/475,703.28 = 106,755.84/x
  3. Step 3: Cross multiply
    317,135.52x = 475,703.28 × 106,755.84
  4. Step 4: Simplify right side
    317,135.52x = 50,784,103,247.16
  5. Step 5: Solve for x
    x = 50,784,103,247.16/317,135.52
  6. Step 6: Final answer
    x = 160,133.76

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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.