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Finding the Fourth Proportional to 204,486, 282,168 and 113,821.08

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Solution

The fourth proportional to 204,486, 282,168 and 113,821.08 is: 157,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,486 : 282,168 = 113,821.08 : x
  2. Step 2: Convert to fraction form
    204,486/282,168 = 113,821.08/x
  3. Step 3: Cross multiply
    204,486x = 282,168 × 113,821.08
  4. Step 4: Simplify right side
    204,486x = 32,116,666,501.44
  5. Step 5: Solve for x
    x = 32,116,666,501.44/204,486
  6. Step 6: Final answer
    x = 157,060.47

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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.