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Finding the Fourth Proportional to 148,648.87, 222,878.43 and 97,989.43

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Solution

The fourth proportional to 148,648.87, 222,878.43 and 97,989.43 is: 146,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,648.87 : 222,878.43 = 97,989.43 : x
  2. Step 2: Convert to fraction form
    148,648.87/222,878.43 = 97,989.43/x
  3. Step 3: Cross multiply
    148,648.87x = 222,878.43 × 97,989.43
  4. Step 4: Simplify right side
    148,648.87x = 21,839,730,314.99
  5. Step 5: Solve for x
    x = 21,839,730,314.99/148,648.87
  6. Step 6: Final answer
    x = 146,921.60

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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.