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Finding the Fourth Proportional to 148,734, 223,136.28 and 50,238

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Solution

The fourth proportional to 148,734, 223,136.28 and 50,238 is: 75,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,734 : 223,136.28 = 50,238 : x
  2. Step 2: Convert to fraction form
    148,734/223,136.28 = 50,238/x
  3. Step 3: Cross multiply
    148,734x = 223,136.28 × 50,238
  4. Step 4: Simplify right side
    148,734x = 11,209,920,434.64
  5. Step 5: Solve for x
    x = 11,209,920,434.64/148,734
  6. Step 6: Final answer
    x = 75,368.92

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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.