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Finding the Fourth Proportional to 228,481.40, 342,457.14 and 135,065.72

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Solution

The fourth proportional to 228,481.40, 342,457.14 and 135,065.72 is: 202,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,481.40 : 342,457.14 = 135,065.72 : x
  2. Step 2: Convert to fraction form
    228,481.40/342,457.14 = 135,065.72/x
  3. Step 3: Cross multiply
    228,481.40x = 342,457.14 × 135,065.72
  4. Step 4: Simplify right side
    228,481.40x = 46,254,220,183.24
  5. Step 5: Solve for x
    x = 46,254,220,183.24/228,481.40
  6. Step 6: Final answer
    x = 202,441.95

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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.