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Finding the Fourth Proportional to 199,556.40, 299,334.60 and 177,905.10

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Solution

The fourth proportional to 199,556.40, 299,334.60 and 177,905.10 is: 266,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,556.40 : 299,334.60 = 177,905.10 : x
  2. Step 2: Convert to fraction form
    199,556.40/299,334.60 = 177,905.10/x
  3. Step 3: Cross multiply
    199,556.40x = 299,334.60 × 177,905.10
  4. Step 4: Simplify right side
    199,556.40x = 53,253,151,946.46
  5. Step 5: Solve for x
    x = 53,253,151,946.46/199,556.40
  6. Step 6: Final answer
    x = 266,857.65

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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.