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Finding the Fourth Proportional to 194,851.94, 292,286.42 and 61,742.01

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Solution

The fourth proportional to 194,851.94, 292,286.42 and 61,742.01 is: 92,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,851.94 : 292,286.42 = 61,742.01 : x
  2. Step 2: Convert to fraction form
    194,851.94/292,286.42 = 61,742.01/x
  3. Step 3: Cross multiply
    194,851.94x = 292,286.42 × 61,742.01
  4. Step 4: Simplify right side
    194,851.94x = 18,046,351,066.50
  5. Step 5: Solve for x
    x = 18,046,351,066.50/194,851.94
  6. Step 6: Final answer
    x = 92,615.71

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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.