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Finding the Fourth Proportional to 213,114.17, 319,403.95 and 113,027.33

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Solution

The fourth proportional to 213,114.17, 319,403.95 and 113,027.33 is: 169,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,114.17 : 319,403.95 = 113,027.33 : x
  2. Step 2: Convert to fraction form
    213,114.17/319,403.95 = 113,027.33/x
  3. Step 3: Cross multiply
    213,114.17x = 319,403.95 × 113,027.33
  4. Step 4: Simplify right side
    213,114.17x = 36,101,375,659.95
  5. Step 5: Solve for x
    x = 36,101,375,659.95/213,114.17
  6. Step 6: Final answer
    x = 169,399.23

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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.