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Finding the Fourth Proportional to 164,957.10, 227,641.77 and 89,505.54

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Solution

The fourth proportional to 164,957.10, 227,641.77 and 89,505.54 is: 123,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,957.10 : 227,641.77 = 89,505.54 : x
  2. Step 2: Convert to fraction form
    164,957.10/227,641.77 = 89,505.54/x
  3. Step 3: Cross multiply
    164,957.10x = 227,641.77 × 89,505.54
  4. Step 4: Simplify right side
    164,957.10x = 20,375,199,550.41
  5. Step 5: Solve for x
    x = 20,375,199,550.41/164,957.10
  6. Step 6: Final answer
    x = 123,518.17

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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.