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Finding the Fourth Proportional to 148,520.82, 222,839.55 and 65,356.50

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Solution

The fourth proportional to 148,520.82, 222,839.55 and 65,356.50 is: 98,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,520.82 : 222,839.55 = 65,356.50 : x
  2. Step 2: Convert to fraction form
    148,520.82/222,839.55 = 65,356.50/x
  3. Step 3: Cross multiply
    148,520.82x = 222,839.55 × 65,356.50
  4. Step 4: Simplify right side
    148,520.82x = 14,564,013,049.58
  5. Step 5: Solve for x
    x = 14,564,013,049.58/148,520.82
  6. Step 6: Final answer
    x = 98,060.41

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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.