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Finding the Fourth Proportional to 213,167.13, 319,750.71 and 63,409.57

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Solution

The fourth proportional to 213,167.13, 319,750.71 and 63,409.57 is: 95,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,167.13 : 319,750.71 = 63,409.57 : x
  2. Step 2: Convert to fraction form
    213,167.13/319,750.71 = 63,409.57/x
  3. Step 3: Cross multiply
    213,167.13x = 319,750.71 × 63,409.57
  4. Step 4: Simplify right side
    213,167.13x = 20,275,253,991.13
  5. Step 5: Solve for x
    x = 20,275,253,991.13/213,167.13
  6. Step 6: Final answer
    x = 95,114.36

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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.