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Finding the Fourth Proportional to 221,461.70, 332,192.55 and 81,202.10

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Solution

The fourth proportional to 221,461.70, 332,192.55 and 81,202.10 is: 121,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,461.70 : 332,192.55 = 81,202.10 : x
  2. Step 2: Convert to fraction form
    221,461.70/332,192.55 = 81,202.10/x
  3. Step 3: Cross multiply
    221,461.70x = 332,192.55 × 81,202.10
  4. Step 4: Simplify right side
    221,461.70x = 26,974,732,664.36
  5. Step 5: Solve for x
    x = 26,974,732,664.36/221,461.70
  6. Step 6: Final answer
    x = 121,803.15

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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.