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Finding the Fourth Proportional to 148,463, 222,136.50 and 104,176.16

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Solution

The fourth proportional to 148,463, 222,136.50 and 104,176.16 is: 155,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,463 : 222,136.50 = 104,176.16 : x
  2. Step 2: Convert to fraction form
    148,463/222,136.50 = 104,176.16/x
  3. Step 3: Cross multiply
    148,463x = 222,136.50 × 104,176.16
  4. Step 4: Simplify right side
    148,463x = 23,141,327,565.84
  5. Step 5: Solve for x
    x = 23,141,327,565.84/148,463
  6. Step 6: Final answer
    x = 155,872.69

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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.