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Finding the Fourth Proportional to 177,833.60, 266,685.60 and 71,172.80

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Solution

The fourth proportional to 177,833.60, 266,685.60 and 71,172.80 is: 106,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,833.60 : 266,685.60 = 71,172.80 : x
  2. Step 2: Convert to fraction form
    177,833.60/266,685.60 = 71,172.80/x
  3. Step 3: Cross multiply
    177,833.60x = 266,685.60 × 71,172.80
  4. Step 4: Simplify right side
    177,833.60x = 18,980,760,871.68
  5. Step 5: Solve for x
    x = 18,980,760,871.68/177,833.60
  6. Step 6: Final answer
    x = 106,733.27

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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.