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Finding the Fourth Proportional to 213,650.40, 320,053.20 and 187,384.80

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Solution

The fourth proportional to 213,650.40, 320,053.20 and 187,384.80 is: 280,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,650.40 : 320,053.20 = 187,384.80 : x
  2. Step 2: Convert to fraction form
    213,650.40/320,053.20 = 187,384.80/x
  3. Step 3: Cross multiply
    213,650.40x = 320,053.20 × 187,384.80
  4. Step 4: Simplify right side
    213,650.40x = 59,973,104,871.36
  5. Step 5: Solve for x
    x = 59,973,104,871.36/213,650.40
  6. Step 6: Final answer
    x = 280,706.73

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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.