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Finding the Fourth Proportional to 201,408.80, 302,113.20 and 135,053.60

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Solution

The fourth proportional to 201,408.80, 302,113.20 and 135,053.60 is: 202,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408.80 : 302,113.20 = 135,053.60 : x
  2. Step 2: Convert to fraction form
    201,408.80/302,113.20 = 135,053.60/x
  3. Step 3: Cross multiply
    201,408.80x = 302,113.20 × 135,053.60
  4. Step 4: Simplify right side
    201,408.80x = 40,801,475,267.52
  5. Step 5: Solve for x
    x = 40,801,475,267.52/201,408.80
  6. Step 6: Final answer
    x = 202,580.40

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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.