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Finding the Fourth Proportional to 201,843.60, 302,830.20 and 89,480.40

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Solution

The fourth proportional to 201,843.60, 302,830.20 and 89,480.40 is: 134,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,843.60 : 302,830.20 = 89,480.40 : x
  2. Step 2: Convert to fraction form
    201,843.60/302,830.20 = 89,480.40/x
  3. Step 3: Cross multiply
    201,843.60x = 302,830.20 × 89,480.40
  4. Step 4: Simplify right side
    201,843.60x = 27,097,367,428.08
  5. Step 5: Solve for x
    x = 27,097,367,428.08/201,843.60
  6. Step 6: Final answer
    x = 134,249.33

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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.