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Finding the Fourth Proportional to 202,034.16, 303,022 and 61,755.12

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Solution

The fourth proportional to 202,034.16, 303,022 and 61,755.12 is: 92,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,034.16 : 303,022 = 61,755.12 : x
  2. Step 2: Convert to fraction form
    202,034.16/303,022 = 61,755.12/x
  3. Step 3: Cross multiply
    202,034.16x = 303,022 × 61,755.12
  4. Step 4: Simplify right side
    202,034.16x = 18,713,159,972.64
  5. Step 5: Solve for x
    x = 18,713,159,972.64/202,034.16
  6. Step 6: Final answer
    x = 92,623.74

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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.