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Finding the Fourth Proportional to 148,518.82, 222,836.58 and 65,354.50

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Solution

The fourth proportional to 148,518.82, 222,836.58 and 65,354.50 is: 98,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,518.82 : 222,836.58 = 65,354.50 : x
  2. Step 2: Convert to fraction form
    148,518.82/222,836.58 = 65,354.50/x
  3. Step 3: Cross multiply
    148,518.82x = 222,836.58 × 65,354.50
  4. Step 4: Simplify right side
    148,518.82x = 14,563,373,267.61
  5. Step 5: Solve for x
    x = 14,563,373,267.61/148,518.82
  6. Step 6: Final answer
    x = 98,057.43

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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.