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Finding the Fourth Proportional to 206,705.81, 285,250.65 and 116,061.95

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Solution

The fourth proportional to 206,705.81, 285,250.65 and 116,061.95 is: 160,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,705.81 : 285,250.65 = 116,061.95 : x
  2. Step 2: Convert to fraction form
    206,705.81/285,250.65 = 116,061.95/x
  3. Step 3: Cross multiply
    206,705.81x = 285,250.65 × 116,061.95
  4. Step 4: Simplify right side
    206,705.81x = 33,106,745,251.51
  5. Step 5: Solve for x
    x = 33,106,745,251.51/206,705.81
  6. Step 6: Final answer
    x = 160,163.60

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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.