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Finding the Fourth Proportional to 106,926.40, 160,216.80 and 67,412.80

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Solution

The fourth proportional to 106,926.40, 160,216.80 and 67,412.80 is: 101,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,926.40 : 160,216.80 = 67,412.80 : x
  2. Step 2: Convert to fraction form
    106,926.40/160,216.80 = 67,412.80/x
  3. Step 3: Cross multiply
    106,926.40x = 160,216.80 × 67,412.80
  4. Step 4: Simplify right side
    106,926.40x = 10,800,663,095.04
  5. Step 5: Solve for x
    x = 10,800,663,095.04/106,926.40
  6. Step 6: Final answer
    x = 101,010.26

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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.