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Finding the Fourth Proportional to 234,656.19, 351,980.10 and 57,162.78

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Solution

The fourth proportional to 234,656.19, 351,980.10 and 57,162.78 is: 85,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,656.19 : 351,980.10 = 57,162.78 : x
  2. Step 2: Convert to fraction form
    234,656.19/351,980.10 = 57,162.78/x
  3. Step 3: Cross multiply
    234,656.19x = 351,980.10 × 57,162.78
  4. Step 4: Simplify right side
    234,656.19x = 20,120,161,020.68
  5. Step 5: Solve for x
    x = 20,120,161,020.68/234,656.19
  6. Step 6: Final answer
    x = 85,743.15

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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.