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Finding the Fourth Proportional to 140,796.54, 194,298.12 and 76,264.38

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Solution

The fourth proportional to 140,796.54, 194,298.12 and 76,264.38 is: 105,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,796.54 : 194,298.12 = 76,264.38 : x
  2. Step 2: Convert to fraction form
    140,796.54/194,298.12 = 76,264.38/x
  3. Step 3: Cross multiply
    140,796.54x = 194,298.12 × 76,264.38
  4. Step 4: Simplify right side
    140,796.54x = 14,818,025,656.97
  5. Step 5: Solve for x
    x = 14,818,025,656.97/140,796.54
  6. Step 6: Final answer
    x = 105,244.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.