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Finding the Fourth Proportional to 218,725.96, 301,830.66 and 123,238.30

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Solution

The fourth proportional to 218,725.96, 301,830.66 and 123,238.30 is: 170,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,725.96 : 301,830.66 = 123,238.30 : x
  2. Step 2: Convert to fraction form
    218,725.96/301,830.66 = 123,238.30/x
  3. Step 3: Cross multiply
    218,725.96x = 301,830.66 × 123,238.30
  4. Step 4: Simplify right side
    218,725.96x = 37,197,097,426.28
  5. Step 5: Solve for x
    x = 37,197,097,426.28/218,725.96
  6. Step 6: Final answer
    x = 170,062.56

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