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Finding the Fourth Proportional to 164,681.92, 227,261.21 and 89,230.42

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Solution

The fourth proportional to 164,681.92, 227,261.21 and 89,230.42 is: 123,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,681.92 : 227,261.21 = 89,230.42 : x
  2. Step 2: Convert to fraction form
    164,681.92/227,261.21 = 89,230.42/x
  3. Step 3: Cross multiply
    164,681.92x = 227,261.21 × 89,230.42
  4. Step 4: Simplify right side
    164,681.92x = 20,278,613,441.08
  5. Step 5: Solve for x
    x = 20,278,613,441.08/164,681.92
  6. Step 6: Final answer
    x = 123,138.07

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1.5x scale

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.