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Finding the Fourth Proportional to 229,257.28, 343,984.48 and 111,017.28

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Solution

The fourth proportional to 229,257.28, 343,984.48 and 111,017.28 is: 166,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,257.28 : 343,984.48 = 111,017.28 : x
  2. Step 2: Convert to fraction form
    229,257.28/343,984.48 = 111,017.28/x
  3. Step 3: Cross multiply
    229,257.28x = 343,984.48 × 111,017.28
  4. Step 4: Simplify right side
    229,257.28x = 38,188,221,331.81
  5. Step 5: Solve for x
    x = 38,188,221,331.81/229,257.28
  6. Step 6: Final answer
    x = 166,573.65

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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.