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Finding the Fourth Proportional to 202,033.64, 278,839.26 and 121,542.50

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Solution

The fourth proportional to 202,033.64, 278,839.26 and 121,542.50 is: 167,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,033.64 : 278,839.26 = 121,542.50 : x
  2. Step 2: Convert to fraction form
    202,033.64/278,839.26 = 121,542.50/x
  3. Step 3: Cross multiply
    202,033.64x = 278,839.26 × 121,542.50
  4. Step 4: Simplify right side
    202,033.64x = 33,890,820,758.55
  5. Step 5: Solve for x
    x = 33,890,820,758.55/202,033.64
  6. Step 6: Final answer
    x = 167,748.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.