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Finding the Fourth Proportional to 165,776.52, 248,666.52 and 132,706.80

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Solution

The fourth proportional to 165,776.52, 248,666.52 and 132,706.80 is: 199,061.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,776.52 : 248,666.52 = 132,706.80 : x
  2. Step 2: Convert to fraction form
    165,776.52/248,666.52 = 132,706.80/x
  3. Step 3: Cross multiply
    165,776.52x = 248,666.52 × 132,706.80
  4. Step 4: Simplify right side
    165,776.52x = 32,999,738,136.34
  5. Step 5: Solve for x
    x = 32,999,738,136.34/165,776.52
  6. Step 6: Final answer
    x = 199,061.59

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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.