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Finding the Fourth Proportional to 193,223.20, 289,834.80 and 93,431.20

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Solution

The fourth proportional to 193,223.20, 289,834.80 and 93,431.20 is: 140,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,223.20 : 289,834.80 = 93,431.20 : x
  2. Step 2: Convert to fraction form
    193,223.20/289,834.80 = 93,431.20/x
  3. Step 3: Cross multiply
    193,223.20x = 289,834.80 × 93,431.20
  4. Step 4: Simplify right side
    193,223.20x = 27,079,613,165.76
  5. Step 5: Solve for x
    x = 27,079,613,165.76/193,223.20
  6. Step 6: Final answer
    x = 140,146.80

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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.