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Finding the Fourth Proportional to 164,098.82, 224,979.57 and 161,109.62

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Solution

The fourth proportional to 164,098.82, 224,979.57 and 161,109.62 is: 220,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,098.82 : 224,979.57 = 161,109.62 : x
  2. Step 2: Convert to fraction form
    164,098.82/224,979.57 = 161,109.62/x
  3. Step 3: Cross multiply
    164,098.82x = 224,979.57 × 161,109.62
  4. Step 4: Simplify right side
    164,098.82x = 36,246,372,224.92
  5. Step 5: Solve for x
    x = 36,246,372,224.92/164,098.82
  6. Step 6: Final answer
    x = 220,881.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.