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Finding the Fourth Proportional to 202,515.70, 303,773.55 and 97,309.30

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Solution

The fourth proportional to 202,515.70, 303,773.55 and 97,309.30 is: 145,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,515.70 : 303,773.55 = 97,309.30 : x
  2. Step 2: Convert to fraction form
    202,515.70/303,773.55 = 97,309.30/x
  3. Step 3: Cross multiply
    202,515.70x = 303,773.55 × 97,309.30
  4. Step 4: Simplify right side
    202,515.70x = 29,559,991,509.02
  5. Step 5: Solve for x
    x = 29,559,991,509.02/202,515.70
  6. Step 6: Final answer
    x = 145,963.95

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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.