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Finding the Fourth Proportional to 164,828.44, 227,463.38 and 89,376.94

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Solution

The fourth proportional to 164,828.44, 227,463.38 and 89,376.94 is: 123,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,828.44 : 227,463.38 = 89,376.94 : x
  2. Step 2: Convert to fraction form
    164,828.44/227,463.38 = 89,376.94/x
  3. Step 3: Cross multiply
    164,828.44x = 227,463.38 × 89,376.94
  4. Step 4: Simplify right side
    164,828.44x = 20,329,980,866.46
  5. Step 5: Solve for x
    x = 20,329,980,866.46/164,828.44
  6. Step 6: Final answer
    x = 123,340.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.