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Finding the Fourth Proportional to 137,824.80, 206,737.20 and 39,328.80

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Solution

The fourth proportional to 137,824.80, 206,737.20 and 39,328.80 is: 58,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,824.80 : 206,737.20 = 39,328.80 : x
  2. Step 2: Convert to fraction form
    137,824.80/206,737.20 = 39,328.80/x
  3. Step 3: Cross multiply
    137,824.80x = 206,737.20 × 39,328.80
  4. Step 4: Simplify right side
    137,824.80x = 8,130,725,991.36
  5. Step 5: Solve for x
    x = 8,130,725,991.36/137,824.80
  6. Step 6: Final answer
    x = 58,993.20

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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.