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Finding the Fourth Proportional to 100,199.89, 138,277.43 and 54,877.06

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Solution

The fourth proportional to 100,199.89, 138,277.43 and 54,877.06 is: 75,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,199.89 : 138,277.43 = 54,877.06 : x
  2. Step 2: Convert to fraction form
    100,199.89/138,277.43 = 54,877.06/x
  3. Step 3: Cross multiply
    100,199.89x = 138,277.43 × 54,877.06
  4. Step 4: Simplify right side
    100,199.89x = 7,588,258,822.76
  5. Step 5: Solve for x
    x = 7,588,258,822.76/100,199.89
  6. Step 6: Final answer
    x = 75,731.21

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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.