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Finding the Fourth Proportional to 92,234.12, 138,347.94 and 29,903

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Solution

The fourth proportional to 92,234.12, 138,347.94 and 29,903 is: 44,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,234.12 : 138,347.94 = 29,903 : x
  2. Step 2: Convert to fraction form
    92,234.12/138,347.94 = 29,903/x
  3. Step 3: Cross multiply
    92,234.12x = 138,347.94 × 29,903
  4. Step 4: Simplify right side
    92,234.12x = 4,137,018,449.82
  5. Step 5: Solve for x
    x = 4,137,018,449.82/92,234.12
  6. Step 6: Final answer
    x = 44,853.45

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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.