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Finding the Fourth Proportional to 210,116.76, 291,187.81 and 206,129.40

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Solution

The fourth proportional to 210,116.76, 291,187.81 and 206,129.40 is: 285,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,116.76 : 291,187.81 = 206,129.40 : x
  2. Step 2: Convert to fraction form
    210,116.76/291,187.81 = 206,129.40/x
  3. Step 3: Cross multiply
    210,116.76x = 291,187.81 × 206,129.40
  4. Step 4: Simplify right side
    210,116.76x = 60,022,368,562.61
  5. Step 5: Solve for x
    x = 60,022,368,562.61/210,116.76
  6. Step 6: Final answer
    x = 285,661.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.