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Finding the Fourth Proportional to 205,473.66, 308,280.51 and 110,713.56

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Solution

The fourth proportional to 205,473.66, 308,280.51 and 110,713.56 is: 166,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,473.66 : 308,280.51 = 110,713.56 : x
  2. Step 2: Convert to fraction form
    205,473.66/308,280.51 = 110,713.56/x
  3. Step 3: Cross multiply
    205,473.66x = 308,280.51 × 110,713.56
  4. Step 4: Simplify right side
    205,473.66x = 34,130,832,740.72
  5. Step 5: Solve for x
    x = 34,130,832,740.72/205,473.66
  6. Step 6: Final answer
    x = 166,108.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.