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Finding the Fourth Proportional to 218,716.32, 301,829.58 and 123,224.52

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Solution

The fourth proportional to 218,716.32, 301,829.58 and 123,224.52 is: 170,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,716.32 : 301,829.58 = 123,224.52 : x
  2. Step 2: Convert to fraction form
    218,716.32/301,829.58 = 123,224.52/x
  3. Step 3: Cross multiply
    218,716.32x = 301,829.58 × 123,224.52
  4. Step 4: Simplify right side
    218,716.32x = 37,192,805,117.30
  5. Step 5: Solve for x
    x = 37,192,805,117.30/218,716.32
  6. Step 6: Final answer
    x = 170,050.43

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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.