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Finding the Fourth Proportional to 204,411.08, 282,087.22 and 114,987.08

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Solution

The fourth proportional to 204,411.08, 282,087.22 and 114,987.08 is: 158,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,411.08 : 282,087.22 = 114,987.08 : x
  2. Step 2: Convert to fraction form
    204,411.08/282,087.22 = 114,987.08/x
  3. Step 3: Cross multiply
    204,411.08x = 282,087.22 × 114,987.08
  4. Step 4: Simplify right side
    204,411.08x = 32,436,385,733.12
  5. Step 5: Solve for x
    x = 32,436,385,733.12/204,411.08
  6. Step 6: Final answer
    x = 158,682.13

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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.