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Finding the Fourth Proportional to 226,697.26, 312,926.44 and 194,737.90

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Solution

The fourth proportional to 226,697.26, 312,926.44 and 194,737.90 is: 268,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,697.26 : 312,926.44 = 194,737.90 : x
  2. Step 2: Convert to fraction form
    226,697.26/312,926.44 = 194,737.90/x
  3. Step 3: Cross multiply
    226,697.26x = 312,926.44 × 194,737.90
  4. Step 4: Simplify right side
    226,697.26x = 60,938,637,780.08
  5. Step 5: Solve for x
    x = 60,938,637,780.08/226,697.26
  6. Step 6: Final answer
    x = 268,810.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.