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Finding the Fourth Proportional to 221,296.50, 331,384.20 and 137,220.87

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Solution

The fourth proportional to 221,296.50, 331,384.20 and 137,220.87 is: 205,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,296.50 : 331,384.20 = 137,220.87 : x
  2. Step 2: Convert to fraction form
    221,296.50/331,384.20 = 137,220.87/x
  3. Step 3: Cross multiply
    221,296.50x = 331,384.20 × 137,220.87
  4. Step 4: Simplify right side
    221,296.50x = 45,472,828,228.25
  5. Step 5: Solve for x
    x = 45,472,828,228.25/221,296.50
  6. Step 6: Final answer
    x = 205,483.72

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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.