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Finding the Fourth Proportional to 140,536.32, 193,985.28 and 92,832

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Solution

The fourth proportional to 140,536.32, 193,985.28 and 92,832 is: 128,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,536.32 : 193,985.28 = 92,832 : x
  2. Step 2: Convert to fraction form
    140,536.32/193,985.28 = 92,832/x
  3. Step 3: Cross multiply
    140,536.32x = 193,985.28 × 92,832
  4. Step 4: Simplify right side
    140,536.32x = 18,008,041,512.96
  5. Step 5: Solve for x
    x = 18,008,041,512.96/140,536.32
  6. Step 6: Final answer
    x = 128,137.99

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