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Finding the Fourth Proportional to 100,207, 138,283.14 and 54,885.04

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Solution

The fourth proportional to 100,207, 138,283.14 and 54,885.04 is: 75,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,207 : 138,283.14 = 54,885.04 : x
  2. Step 2: Convert to fraction form
    100,207/138,283.14 = 54,885.04/x
  3. Step 3: Cross multiply
    100,207x = 138,283.14 × 54,885.04
  4. Step 4: Simplify right side
    100,207x = 7,589,675,670.23
  5. Step 5: Solve for x
    x = 7,589,675,670.23/100,207
  6. Step 6: Final answer
    x = 75,739.97

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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.