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Finding the Fourth Proportional to 317,064.06, 475,645.30 and 106,685.59

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Solution

The fourth proportional to 317,064.06, 475,645.30 and 106,685.59 is: 160,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,064.06 : 475,645.30 = 106,685.59 : x
  2. Step 2: Convert to fraction form
    317,064.06/475,645.30 = 106,685.59/x
  3. Step 3: Cross multiply
    317,064.06x = 475,645.30 × 106,685.59
  4. Step 4: Simplify right side
    317,064.06x = 50,744,499,461.23
  5. Step 5: Solve for x
    x = 50,744,499,461.23/317,064.06
  6. Step 6: Final answer
    x = 160,044.94

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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.