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Finding the Fourth Proportional to 317,078.70, 475,689.33 and 106,710.54

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Solution

The fourth proportional to 317,078.70, 475,689.33 and 106,710.54 is: 160,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,078.70 : 475,689.33 = 106,710.54 : x
  2. Step 2: Convert to fraction form
    317,078.70/475,689.33 = 106,710.54/x
  3. Step 3: Cross multiply
    317,078.70x = 475,689.33 × 106,710.54
  4. Step 4: Simplify right side
    317,078.70x = 50,761,065,276.54
  5. Step 5: Solve for x
    x = 50,761,065,276.54/317,078.70
  6. Step 6: Final answer
    x = 160,089.80

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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.