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Finding the Fourth Proportional to 202,001.49, 303,189.75 and 102,232.17

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Solution

The fourth proportional to 202,001.49, 303,189.75 and 102,232.17 is: 153,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,001.49 : 303,189.75 = 102,232.17 : x
  2. Step 2: Convert to fraction form
    202,001.49/303,189.75 = 102,232.17/x
  3. Step 3: Cross multiply
    202,001.49x = 303,189.75 × 102,232.17
  4. Step 4: Simplify right side
    202,001.49x = 30,995,746,064.26
  5. Step 5: Solve for x
    x = 30,995,746,064.26/202,001.49
  6. Step 6: Final answer
    x = 153,443.16

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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.