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Finding the Fourth Proportional to 229,624.50, 344,441.50 and 83,559.41

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Solution

The fourth proportional to 229,624.50, 344,441.50 and 83,559.41 is: 125,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,624.50 : 344,441.50 = 83,559.41 : x
  2. Step 2: Convert to fraction form
    229,624.50/344,441.50 = 83,559.41/x
  3. Step 3: Cross multiply
    229,624.50x = 344,441.50 × 83,559.41
  4. Step 4: Simplify right side
    229,624.50x = 28,781,328,519.52
  5. Step 5: Solve for x
    x = 28,781,328,519.52/229,624.50
  6. Step 6: Final answer
    x = 125,340.84

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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.