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Finding the Fourth Proportional to 201,872.06, 302,843.74 and 83,477.10

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Solution

The fourth proportional to 201,872.06, 302,843.74 and 83,477.10 is: 125,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,872.06 : 302,843.74 = 83,477.10 : x
  2. Step 2: Convert to fraction form
    201,872.06/302,843.74 = 83,477.10/x
  3. Step 3: Cross multiply
    201,872.06x = 302,843.74 × 83,477.10
  4. Step 4: Simplify right side
    201,872.06x = 25,280,517,168.35
  5. Step 5: Solve for x
    x = 25,280,517,168.35/201,872.06
  6. Step 6: Final answer
    x = 125,230.39

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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.