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Finding the Fourth Proportional to 100,327.64, 138,453.70 and 55,009.76

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Solution

The fourth proportional to 100,327.64, 138,453.70 and 55,009.76 is: 75,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,327.64 : 138,453.70 = 55,009.76 : x
  2. Step 2: Convert to fraction form
    100,327.64/138,453.70 = 55,009.76/x
  3. Step 3: Cross multiply
    100,327.64x = 138,453.70 × 55,009.76
  4. Step 4: Simplify right side
    100,327.64x = 7,616,304,808.11
  5. Step 5: Solve for x
    x = 7,616,304,808.11/100,327.64
  6. Step 6: Final answer
    x = 75,914.32

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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.