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Finding the Fourth Proportional to 201,919.41, 302,686.25 and 75,525.39

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Solution

The fourth proportional to 201,919.41, 302,686.25 and 75,525.39 is: 113,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.41 : 302,686.25 = 75,525.39 : x
  2. Step 2: Convert to fraction form
    201,919.41/302,686.25 = 75,525.39/x
  3. Step 3: Cross multiply
    201,919.41x = 302,686.25 × 75,525.39
  4. Step 4: Simplify right side
    201,919.41x = 22,860,496,701.26
  5. Step 5: Solve for x
    x = 22,860,496,701.26/201,919.41
  6. Step 6: Final answer
    x = 113,215.94

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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.