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Finding the Fourth Proportional to 201,400.80, 302,101.20 and 135,045.60

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Solution

The fourth proportional to 201,400.80, 302,101.20 and 135,045.60 is: 202,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,400.80 : 302,101.20 = 135,045.60 : x
  2. Step 2: Convert to fraction form
    201,400.80/302,101.20 = 135,045.60/x
  3. Step 3: Cross multiply
    201,400.80x = 302,101.20 × 135,045.60
  4. Step 4: Simplify right side
    201,400.80x = 40,797,437,814.72
  5. Step 5: Solve for x
    x = 40,797,437,814.72/201,400.80
  6. Step 6: Final answer
    x = 202,568.40

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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.