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Finding the Fourth Proportional to 229,112.82, 343,673.12 and 79,357.55

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Solution

The fourth proportional to 229,112.82, 343,673.12 and 79,357.55 is: 119,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,112.82 : 343,673.12 = 79,357.55 : x
  2. Step 2: Convert to fraction form
    229,112.82/343,673.12 = 79,357.55/x
  3. Step 3: Cross multiply
    229,112.82x = 343,673.12 × 79,357.55
  4. Step 4: Simplify right side
    229,112.82x = 27,273,055,284.08
  5. Step 5: Solve for x
    x = 27,273,055,284.08/229,112.82
  6. Step 6: Final answer
    x = 119,037.67

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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.