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Finding the Fourth Proportional to 228,499.92, 342,819.96 and 102,246.46

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Solution

The fourth proportional to 228,499.92, 342,819.96 and 102,246.46 is: 153,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,499.92 : 342,819.96 = 102,246.46 : x
  2. Step 2: Convert to fraction form
    228,499.92/342,819.96 = 102,246.46/x
  3. Step 3: Cross multiply
    228,499.92x = 342,819.96 × 102,246.46
  4. Step 4: Simplify right side
    228,499.92x = 35,052,127,327.34
  5. Step 5: Solve for x
    x = 35,052,127,327.34/228,499.92
  6. Step 6: Final answer
    x = 153,401.05

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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.