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Finding the Fourth Proportional to 192,336.53, 288,246.88 and 149,693.46

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Solution

The fourth proportional to 192,336.53, 288,246.88 and 149,693.46 is: 224,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,336.53 : 288,246.88 = 149,693.46 : x
  2. Step 2: Convert to fraction form
    192,336.53/288,246.88 = 149,693.46/x
  3. Step 3: Cross multiply
    192,336.53x = 288,246.88 × 149,693.46
  4. Step 4: Simplify right side
    192,336.53x = 43,148,672,801.40
  5. Step 5: Solve for x
    x = 43,148,672,801.40/192,336.53
  6. Step 6: Final answer
    x = 224,339.46

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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.