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Finding the Fourth Proportional to 201,221.80, 301,832.70 and 121,505.65

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Solution

The fourth proportional to 201,221.80, 301,832.70 and 121,505.65 is: 182,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,221.80 : 301,832.70 = 121,505.65 : x
  2. Step 2: Convert to fraction form
    201,221.80/301,832.70 = 121,505.65/x
  3. Step 3: Cross multiply
    201,221.80x = 301,832.70 × 121,505.65
  4. Step 4: Simplify right side
    201,221.80x = 36,674,378,404.76
  5. Step 5: Solve for x
    x = 36,674,378,404.76/201,221.80
  6. Step 6: Final answer
    x = 182,258.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.