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Finding the Fourth Proportional to 164,790.50, 227,410.89 and 89,339

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Solution

The fourth proportional to 164,790.50, 227,410.89 and 89,339 is: 123,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,790.50 : 227,410.89 = 89,339 : x
  2. Step 2: Convert to fraction form
    164,790.50/227,410.89 = 89,339/x
  3. Step 3: Cross multiply
    164,790.50x = 227,410.89 × 89,339
  4. Step 4: Simplify right side
    164,790.50x = 20,316,661,501.71
  5. Step 5: Solve for x
    x = 20,316,661,501.71/164,790.50
  6. Step 6: Final answer
    x = 123,287.82

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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.