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Finding the Fourth Proportional to 177,795.80, 266,321.10 and 83,106.80

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Solution

The fourth proportional to 177,795.80, 266,321.10 and 83,106.80 is: 124,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,795.80 : 266,321.10 = 83,106.80 : x
  2. Step 2: Convert to fraction form
    177,795.80/266,321.10 = 83,106.80/x
  3. Step 3: Cross multiply
    177,795.80x = 266,321.10 × 83,106.80
  4. Step 4: Simplify right side
    177,795.80x = 22,133,094,393.48
  5. Step 5: Solve for x
    x = 22,133,094,393.48/177,795.80
  6. Step 6: Final answer
    x = 124,486.04

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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.