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Finding the Fourth Proportional to 100,090.89, 138,124.71 and 54,768.02

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Solution

The fourth proportional to 100,090.89, 138,124.71 and 54,768.02 is: 75,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,090.89 : 138,124.71 = 54,768.02 : x
  2. Step 2: Convert to fraction form
    100,090.89/138,124.71 = 54,768.02/x
  3. Step 3: Cross multiply
    100,090.89x = 138,124.71 × 54,768.02
  4. Step 4: Simplify right side
    100,090.89x = 7,564,816,189.15
  5. Step 5: Solve for x
    x = 7,564,816,189.15/100,090.89
  6. Step 6: Final answer
    x = 75,579.47

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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.