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Finding the Fourth Proportional to 201,986.67, 302,987.67 and 75,613.62

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Solution

The fourth proportional to 201,986.67, 302,987.67 and 75,613.62 is: 113,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,986.67 : 302,987.67 = 75,613.62 : x
  2. Step 2: Convert to fraction form
    201,986.67/302,987.67 = 75,613.62/x
  3. Step 3: Cross multiply
    201,986.67x = 302,987.67 × 75,613.62
  4. Step 4: Simplify right side
    201,986.67x = 22,909,994,166.00
  5. Step 5: Solve for x
    x = 22,909,994,166.00/201,986.67
  6. Step 6: Final answer
    x = 113,423.30

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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.