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Finding the Fourth Proportional to 225,971.16, 338,958.66 and 57,491.66

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Solution

The fourth proportional to 225,971.16, 338,958.66 and 57,491.66 is: 86,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,971.16 : 338,958.66 = 57,491.66 : x
  2. Step 2: Convert to fraction form
    225,971.16/338,958.66 = 57,491.66/x
  3. Step 3: Cross multiply
    225,971.16x = 338,958.66 × 57,491.66
  4. Step 4: Simplify right side
    225,971.16x = 19,487,296,034.78
  5. Step 5: Solve for x
    x = 19,487,296,034.78/225,971.16
  6. Step 6: Final answer
    x = 86,237.98

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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.