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Finding the Fourth Proportional to 204,378.10, 282,066.34 and 123,803.26

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Solution

The fourth proportional to 204,378.10, 282,066.34 and 123,803.26 is: 170,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,378.10 : 282,066.34 = 123,803.26 : x
  2. Step 2: Convert to fraction form
    204,378.10/282,066.34 = 123,803.26/x
  3. Step 3: Cross multiply
    204,378.10x = 282,066.34 × 123,803.26
  4. Step 4: Simplify right side
    204,378.10x = 34,920,732,428.27
  5. Step 5: Solve for x
    x = 34,920,732,428.27/204,378.10
  6. Step 6: Final answer
    x = 170,863.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.