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Finding the Fourth Proportional to 317,298.26, 475,949.02 and 106,938.02

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Solution

The fourth proportional to 317,298.26, 475,949.02 and 106,938.02 is: 160,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,298.26 : 475,949.02 = 106,938.02 : x
  2. Step 2: Convert to fraction form
    317,298.26/475,949.02 = 106,938.02/x
  3. Step 3: Cross multiply
    317,298.26x = 475,949.02 × 106,938.02
  4. Step 4: Simplify right side
    317,298.26x = 50,897,045,819.74
  5. Step 5: Solve for x
    x = 50,897,045,819.74/317,298.26
  6. Step 6: Final answer
    x = 160,407.58

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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.