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Finding the Fourth Proportional to 100,114.72, 138,173.84 and 57,094.32

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Solution

The fourth proportional to 100,114.72, 138,173.84 and 57,094.32 is: 78,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,114.72 : 138,173.84 = 57,094.32 : x
  2. Step 2: Convert to fraction form
    100,114.72/138,173.84 = 57,094.32/x
  3. Step 3: Cross multiply
    100,114.72x = 138,173.84 × 57,094.32
  4. Step 4: Simplify right side
    100,114.72x = 7,888,941,436.59
  5. Step 5: Solve for x
    x = 7,888,941,436.59/100,114.72
  6. Step 6: Final answer
    x = 78,799.02

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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.