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Finding the Fourth Proportional to 201,918.66, 302,685.12 and 75,524.64

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Solution

The fourth proportional to 201,918.66, 302,685.12 and 75,524.64 is: 113,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,918.66 : 302,685.12 = 75,524.64 : x
  2. Step 2: Convert to fraction form
    201,918.66/302,685.12 = 75,524.64/x
  3. Step 3: Cross multiply
    201,918.66x = 302,685.12 × 75,524.64
  4. Step 4: Simplify right side
    201,918.66x = 22,860,184,721.36
  5. Step 5: Solve for x
    x = 22,860,184,721.36/201,918.66
  6. Step 6: Final answer
    x = 113,214.82

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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.