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Finding the Fourth Proportional to 100,231.69, 138,281.15 and 57,213.60

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Solution

The fourth proportional to 100,231.69, 138,281.15 and 57,213.60 is: 78,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,231.69 : 138,281.15 = 57,213.60 : x
  2. Step 2: Convert to fraction form
    100,231.69/138,281.15 = 57,213.60/x
  3. Step 3: Cross multiply
    100,231.69x = 138,281.15 × 57,213.60
  4. Step 4: Simplify right side
    100,231.69x = 7,911,562,403.64
  5. Step 5: Solve for x
    x = 7,911,562,403.64/100,231.69
  6. Step 6: Final answer
    x = 78,932.74

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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.