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Finding the Fourth Proportional to 201,860.02, 302,798.40 and 75,487.60

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Solution

The fourth proportional to 201,860.02, 302,798.40 and 75,487.60 is: 113,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,860.02 : 302,798.40 = 75,487.60 : x
  2. Step 2: Convert to fraction form
    201,860.02/302,798.40 = 75,487.60/x
  3. Step 3: Cross multiply
    201,860.02x = 302,798.40 × 75,487.60
  4. Step 4: Simplify right side
    201,860.02x = 22,857,524,499.84
  5. Step 5: Solve for x
    x = 22,857,524,499.84/201,860.02
  6. Step 6: Final answer
    x = 113,234.53

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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.