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Finding the Fourth Proportional to 100,493.76, 138,681.78 and 55,176.39

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Solution

The fourth proportional to 100,493.76, 138,681.78 and 55,176.39 is: 76,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,493.76 : 138,681.78 = 55,176.39 : x
  2. Step 2: Convert to fraction form
    100,493.76/138,681.78 = 55,176.39/x
  3. Step 3: Cross multiply
    100,493.76x = 138,681.78 × 55,176.39
  4. Step 4: Simplify right side
    100,493.76x = 7,651,959,772.26
  5. Step 5: Solve for x
    x = 7,651,959,772.26/100,493.76
  6. Step 6: Final answer
    x = 76,143.63

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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.