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Finding the Fourth Proportional to 229,758.72, 344,693.16 and 111,291.60

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Solution

The fourth proportional to 229,758.72, 344,693.16 and 111,291.60 is: 166,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,758.72 : 344,693.16 = 111,291.60 : x
  2. Step 2: Convert to fraction form
    229,758.72/344,693.16 = 111,291.60/x
  3. Step 3: Cross multiply
    229,758.72x = 344,693.16 × 111,291.60
  4. Step 4: Simplify right side
    229,758.72x = 38,361,453,285.46
  5. Step 5: Solve for x
    x = 38,361,453,285.46/229,758.72
  6. Step 6: Final answer
    x = 166,964.08

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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.