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Finding the Fourth Proportional to 317,259.41, 475,891.53 and 106,894.31

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Solution

The fourth proportional to 317,259.41, 475,891.53 and 106,894.31 is: 160,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,259.41 : 475,891.53 = 106,894.31 : x
  2. Step 2: Convert to fraction form
    317,259.41/475,891.53 = 106,894.31/x
  3. Step 3: Cross multiply
    317,259.41x = 475,891.53 × 106,894.31
  4. Step 4: Simplify right side
    317,259.41x = 50,870,094,354.74
  5. Step 5: Solve for x
    x = 50,870,094,354.74/317,259.41
  6. Step 6: Final answer
    x = 160,342.27

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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.