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Finding the Fourth Proportional to 92,100.32, 138,002.82 and 83,243

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Solution

The fourth proportional to 92,100.32, 138,002.82 and 83,243 is: 124,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,100.32 : 138,002.82 = 83,243 : x
  2. Step 2: Convert to fraction form
    92,100.32/138,002.82 = 83,243/x
  3. Step 3: Cross multiply
    92,100.32x = 138,002.82 × 83,243
  4. Step 4: Simplify right side
    92,100.32x = 11,487,768,745.26
  5. Step 5: Solve for x
    x = 11,487,768,745.26/92,100.32
  6. Step 6: Final answer
    x = 124,731.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.