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Finding the Fourth Proportional to 221,148.50, 331,722.67 and 71,410.82

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Solution

The fourth proportional to 221,148.50, 331,722.67 and 71,410.82 is: 107,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,148.50 : 331,722.67 = 71,410.82 : x
  2. Step 2: Convert to fraction form
    221,148.50/331,722.67 = 71,410.82/x
  3. Step 3: Cross multiply
    221,148.50x = 331,722.67 × 71,410.82
  4. Step 4: Simplify right side
    221,148.50x = 23,688,587,877.29
  5. Step 5: Solve for x
    x = 23,688,587,877.29/221,148.50
  6. Step 6: Final answer
    x = 107,116.20

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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.