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Finding the Fourth Proportional to 202,449.17, 303,710.65 and 101,300.09

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Solution

The fourth proportional to 202,449.17, 303,710.65 and 101,300.09 is: 151,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,449.17 : 303,710.65 = 101,300.09 : x
  2. Step 2: Convert to fraction form
    202,449.17/303,710.65 = 101,300.09/x
  3. Step 3: Cross multiply
    202,449.17x = 303,710.65 × 101,300.09
  4. Step 4: Simplify right side
    202,449.17x = 30,765,914,407.16
  5. Step 5: Solve for x
    x = 30,765,914,407.16/202,449.17
  6. Step 6: Final answer
    x = 151,968.59

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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.