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Finding the Fourth Proportional to 202,261.40, 303,146.10 and 143,114.12

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Solution

The fourth proportional to 202,261.40, 303,146.10 and 143,114.12 is: 214,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,261.40 : 303,146.10 = 143,114.12 : x
  2. Step 2: Convert to fraction form
    202,261.40/303,146.10 = 143,114.12/x
  3. Step 3: Cross multiply
    202,261.40x = 303,146.10 × 143,114.12
  4. Step 4: Simplify right side
    202,261.40x = 43,384,487,332.93
  5. Step 5: Solve for x
    x = 43,384,487,332.93/202,261.40
  6. Step 6: Final answer
    x = 214,497.12

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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.