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Finding the Fourth Proportional to 164,661.84, 227,098.08 and 100,954.80

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Solution

The fourth proportional to 164,661.84, 227,098.08 and 100,954.80 is: 139,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,661.84 : 227,098.08 = 100,954.80 : x
  2. Step 2: Convert to fraction form
    164,661.84/227,098.08 = 100,954.80/x
  3. Step 3: Cross multiply
    164,661.84x = 227,098.08 × 100,954.80
  4. Step 4: Simplify right side
    164,661.84x = 22,926,641,246.78
  5. Step 5: Solve for x
    x = 22,926,641,246.78/164,661.84
  6. Step 6: Final answer
    x = 139,234.70

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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.