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Finding the Fourth Proportional to 210,177.96, 289,969.80 and 161,794.69

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Solution

The fourth proportional to 210,177.96, 289,969.80 and 161,794.69 is: 223,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,177.96 : 289,969.80 = 161,794.69 : x
  2. Step 2: Convert to fraction form
    210,177.96/289,969.80 = 161,794.69/x
  3. Step 3: Cross multiply
    210,177.96x = 289,969.80 × 161,794.69
  4. Step 4: Simplify right side
    210,177.96x = 46,915,573,839.30
  5. Step 5: Solve for x
    x = 46,915,573,839.30/210,177.96
  6. Step 6: Final answer
    x = 223,218.33

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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.