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Finding the Fourth Proportional to 206,419.19, 284,594.75 and 133,693.61

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Solution

The fourth proportional to 206,419.19, 284,594.75 and 133,693.61 is: 184,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,419.19 : 284,594.75 = 133,693.61 : x
  2. Step 2: Convert to fraction form
    206,419.19/284,594.75 = 133,693.61/x
  3. Step 3: Cross multiply
    206,419.19x = 284,594.75 × 133,693.61
  4. Step 4: Simplify right side
    206,419.19x = 38,048,498,425.81
  5. Step 5: Solve for x
    x = 38,048,498,425.81/206,419.19
  6. Step 6: Final answer
    x = 184,326.37

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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.