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Finding the Fourth Proportional to 202,326.40, 303,489.60 and 149,182.30

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Solution

The fourth proportional to 202,326.40, 303,489.60 and 149,182.30 is: 223,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,326.40 : 303,489.60 = 149,182.30 : x
  2. Step 2: Convert to fraction form
    202,326.40/303,489.60 = 149,182.30/x
  3. Step 3: Cross multiply
    202,326.40x = 303,489.60 × 149,182.30
  4. Step 4: Simplify right side
    202,326.40x = 45,275,276,554.08
  5. Step 5: Solve for x
    x = 45,275,276,554.08/202,326.40
  6. Step 6: Final answer
    x = 223,773.45

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Why These Related Problems?

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