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Finding the Fourth Proportional to 201,556.50, 302,335.14 and 75,194.88

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Solution

The fourth proportional to 201,556.50, 302,335.14 and 75,194.88 is: 112,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,556.50 : 302,335.14 = 75,194.88 : x
  2. Step 2: Convert to fraction form
    201,556.50/302,335.14 = 75,194.88/x
  3. Step 3: Cross multiply
    201,556.50x = 302,335.14 × 75,194.88
  4. Step 4: Simplify right side
    201,556.50x = 22,734,054,572.08
  5. Step 5: Solve for x
    x = 22,734,054,572.08/201,556.50
  6. Step 6: Final answer
    x = 112,792.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.