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Finding the Fourth Proportional to 164,686.10, 227,266.86 and 89,234.60

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Solution

The fourth proportional to 164,686.10, 227,266.86 and 89,234.60 is: 123,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,686.10 : 227,266.86 = 89,234.60 : x
  2. Step 2: Convert to fraction form
    164,686.10/227,266.86 = 89,234.60/x
  3. Step 3: Cross multiply
    164,686.10x = 227,266.86 × 89,234.60
  4. Step 4: Simplify right side
    164,686.10x = 20,280,067,345.36
  5. Step 5: Solve for x
    x = 20,280,067,345.36/164,686.10
  6. Step 6: Final answer
    x = 123,143.77

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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.