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Finding the Fourth Proportional to 177,803.80, 266,333.10 and 83,114.80

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Solution

The fourth proportional to 177,803.80, 266,333.10 and 83,114.80 is: 124,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,803.80 : 266,333.10 = 83,114.80 : x
  2. Step 2: Convert to fraction form
    177,803.80/266,333.10 = 83,114.80/x
  3. Step 3: Cross multiply
    177,803.80x = 266,333.10 × 83,114.80
  4. Step 4: Simplify right side
    177,803.80x = 22,136,222,339.88
  5. Step 5: Solve for x
    x = 22,136,222,339.88/177,803.80
  6. Step 6: Final answer
    x = 124,498.03

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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.