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Finding the Fourth Proportional to 100,147.58, 138,297.35 and 64,399.70

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Solution

The fourth proportional to 100,147.58, 138,297.35 and 64,399.70 is: 88,931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,147.58 : 138,297.35 = 64,399.70 : x
  2. Step 2: Convert to fraction form
    100,147.58/138,297.35 = 64,399.70/x
  3. Step 3: Cross multiply
    100,147.58x = 138,297.35 × 64,399.70
  4. Step 4: Simplify right side
    100,147.58x = 8,906,307,874.54
  5. Step 5: Solve for x
    x = 8,906,307,874.54/100,147.58
  6. Step 6: Final answer
    x = 88,931.83

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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.