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Finding the Fourth Proportional to 153,314.78, 211,576.11 and 86,246.78

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Solution

The fourth proportional to 153,314.78, 211,576.11 and 86,246.78 is: 119,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,314.78 : 211,576.11 = 86,246.78 : x
  2. Step 2: Convert to fraction form
    153,314.78/211,576.11 = 86,246.78/x
  3. Step 3: Cross multiply
    153,314.78x = 211,576.11 × 86,246.78
  4. Step 4: Simplify right side
    153,314.78x = 18,247,758,212.43
  5. Step 5: Solve for x
    x = 18,247,758,212.43/153,314.78
  6. Step 6: Final answer
    x = 119,021.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.