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Finding the Fourth Proportional to 222,177.89, 333,988.61 and 178,284.80

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Solution

The fourth proportional to 222,177.89, 333,988.61 and 178,284.80 is: 268,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,177.89 : 333,988.61 = 178,284.80 : x
  2. Step 2: Convert to fraction form
    222,177.89/333,988.61 = 178,284.80/x
  3. Step 3: Cross multiply
    222,177.89x = 333,988.61 × 178,284.80
  4. Step 4: Simplify right side
    222,177.89x = 59,545,089,974.76
  5. Step 5: Solve for x
    x = 59,545,089,974.76/222,177.89
  6. Step 6: Final answer
    x = 268,006.38

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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.