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Finding the Fourth Proportional to 100,415.42, 138,568.29 and 57,393.62

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Solution

The fourth proportional to 100,415.42, 138,568.29 and 57,393.62 is: 79,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,415.42 : 138,568.29 = 57,393.62 : x
  2. Step 2: Convert to fraction form
    100,415.42/138,568.29 = 57,393.62/x
  3. Step 3: Cross multiply
    100,415.42x = 138,568.29 × 57,393.62
  4. Step 4: Simplify right side
    100,415.42x = 7,952,935,780.31
  5. Step 5: Solve for x
    x = 7,952,935,780.31/100,415.42
  6. Step 6: Final answer
    x = 79,200.34

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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.