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Finding the Fourth Proportional to 194,851.71, 292,286.03 and 61,741.76

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Solution

The fourth proportional to 194,851.71, 292,286.03 and 61,741.76 is: 92,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,851.71 : 292,286.03 = 61,741.76 : x
  2. Step 2: Convert to fraction form
    194,851.71/292,286.03 = 61,741.76/x
  3. Step 3: Cross multiply
    194,851.71x = 292,286.03 × 61,741.76
  4. Step 4: Simplify right side
    194,851.71x = 18,046,252,145.47
  5. Step 5: Solve for x
    x = 18,046,252,145.47/194,851.71
  6. Step 6: Final answer
    x = 92,615.31

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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.