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Finding the Fourth Proportional to 100,156.14, 138,215.50 and 54,837.05

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Solution

The fourth proportional to 100,156.14, 138,215.50 and 54,837.05 is: 75,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,156.14 : 138,215.50 = 54,837.05 : x
  2. Step 2: Convert to fraction form
    100,156.14/138,215.50 = 54,837.05/x
  3. Step 3: Cross multiply
    100,156.14x = 138,215.50 × 54,837.05
  4. Step 4: Simplify right side
    100,156.14x = 7,579,329,456.10
  5. Step 5: Solve for x
    x = 7,579,329,456.10/100,156.14
  6. Step 6: Final answer
    x = 75,675.14

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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.