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Finding the Fourth Proportional to 194,833.46, 292,266.76 and 68,462.80

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Solution

The fourth proportional to 194,833.46, 292,266.76 and 68,462.80 is: 102,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,833.46 : 292,266.76 = 68,462.80 : x
  2. Step 2: Convert to fraction form
    194,833.46/292,266.76 = 68,462.80/x
  3. Step 3: Cross multiply
    194,833.46x = 292,266.76 × 68,462.80
  4. Step 4: Simplify right side
    194,833.46x = 20,009,400,736.53
  5. Step 5: Solve for x
    x = 20,009,400,736.53/194,833.46
  6. Step 6: Final answer
    x = 102,700.02

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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.