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Finding the Fourth Proportional to 92,142.64, 138,282.28 and 68,504.88

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Solution

The fourth proportional to 92,142.64, 138,282.28 and 68,504.88 is: 102,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,142.64 : 138,282.28 = 68,504.88 : x
  2. Step 2: Convert to fraction form
    92,142.64/138,282.28 = 68,504.88/x
  3. Step 3: Cross multiply
    92,142.64x = 138,282.28 × 68,504.88
  4. Step 4: Simplify right side
    92,142.64x = 9,473,010,997.53
  5. Step 5: Solve for x
    x = 9,473,010,997.53/92,142.64
  6. Step 6: Final answer
    x = 102,808.11

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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.