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Finding the Fourth Proportional to 164,839, 227,479.24 and 89,387.50

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Solution

The fourth proportional to 164,839, 227,479.24 and 89,387.50 is: 123,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,839 : 227,479.24 = 89,387.50 : x
  2. Step 2: Convert to fraction form
    164,839/227,479.24 = 89,387.50/x
  3. Step 3: Cross multiply
    164,839x = 227,479.24 × 89,387.50
  4. Step 4: Simplify right side
    164,839x = 20,333,800,565.50
  5. Step 5: Solve for x
    x = 20,333,800,565.50/164,839
  6. Step 6: Final answer
    x = 123,355.52

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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.