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Finding the Fourth Proportional to 100,156.14, 138,217.10 and 54,833.37

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Solution

The fourth proportional to 100,156.14, 138,217.10 and 54,833.37 is: 75,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,156.14 : 138,217.10 = 54,833.37 : x
  2. Step 2: Convert to fraction form
    100,156.14/138,217.10 = 54,833.37/x
  3. Step 3: Cross multiply
    100,156.14x = 138,217.10 × 54,833.37
  4. Step 4: Simplify right side
    100,156.14x = 7,578,909,384.63
  5. Step 5: Solve for x
    x = 7,578,909,384.63/100,156.14
  6. Step 6: Final answer
    x = 75,670.94

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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.