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Finding the Fourth Proportional to 148,524, 222,794.88 and 59,777.12

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Solution

The fourth proportional to 148,524, 222,794.88 and 59,777.12 is: 89,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,524 : 222,794.88 = 59,777.12 : x
  2. Step 2: Convert to fraction form
    148,524/222,794.88 = 59,777.12/x
  3. Step 3: Cross multiply
    148,524x = 222,794.88 × 59,777.12
  4. Step 4: Simplify right side
    148,524x = 13,318,036,277.15
  5. Step 5: Solve for x
    x = 13,318,036,277.15/148,524
  6. Step 6: Final answer
    x = 89,669.25

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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.