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Finding the Fourth Proportional to 100,214.95, 138,298.61 and 54,892.93

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Solution

The fourth proportional to 100,214.95, 138,298.61 and 54,892.93 is: 75,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214.95 : 138,298.61 = 54,892.93 : x
  2. Step 2: Convert to fraction form
    100,214.95/138,298.61 = 54,892.93/x
  3. Step 3: Cross multiply
    100,214.95x = 138,298.61 × 54,892.93
  4. Step 4: Simplify right side
    100,214.95x = 7,591,615,226.33
  5. Step 5: Solve for x
    x = 7,591,615,226.33/100,214.95
  6. Step 6: Final answer
    x = 75,753.32

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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.