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Finding the Fourth Proportional to 206,497.58, 285,066.79 and 138,489.68

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Solution

The fourth proportional to 206,497.58, 285,066.79 and 138,489.68 is: 191,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,497.58 : 285,066.79 = 138,489.68 : x
  2. Step 2: Convert to fraction form
    206,497.58/285,066.79 = 138,489.68/x
  3. Step 3: Cross multiply
    206,497.58x = 285,066.79 × 138,489.68
  4. Step 4: Simplify right side
    206,497.58x = 39,478,806,754.17
  5. Step 5: Solve for x
    x = 39,478,806,754.17/206,497.58
  6. Step 6: Final answer
    x = 191,182.91

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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.