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Finding the Fourth Proportional to 201,957.44, 302,965.38 and 61,697.84

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Solution

The fourth proportional to 201,957.44, 302,965.38 and 61,697.84 is: 92,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,957.44 : 302,965.38 = 61,697.84 : x
  2. Step 2: Convert to fraction form
    201,957.44/302,965.38 = 61,697.84/x
  3. Step 3: Cross multiply
    201,957.44x = 302,965.38 × 61,697.84
  4. Step 4: Simplify right side
    201,957.44x = 18,692,308,025.95
  5. Step 5: Solve for x
    x = 18,692,308,025.95/201,957.44
  6. Step 6: Final answer
    x = 92,555.68

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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.