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Finding the Fourth Proportional to 148,102.94, 222,154.22 and 48,262.98

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Solution

The fourth proportional to 148,102.94, 222,154.22 and 48,262.98 is: 72,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,102.94 : 222,154.22 = 48,262.98 : x
  2. Step 2: Convert to fraction form
    148,102.94/222,154.22 = 48,262.98/x
  3. Step 3: Cross multiply
    148,102.94x = 222,154.22 × 48,262.98
  4. Step 4: Simplify right side
    148,102.94x = 10,721,824,676.78
  5. Step 5: Solve for x
    x = 10,721,824,676.78/148,102.94
  6. Step 6: Final answer
    x = 72,394.41

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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.