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Finding the Fourth Proportional to 100,415.75, 138,569.14 and 55,092.80

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Solution

The fourth proportional to 100,415.75, 138,569.14 and 55,092.80 is: 76,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,415.75 : 138,569.14 = 55,092.80 : x
  2. Step 2: Convert to fraction form
    100,415.75/138,569.14 = 55,092.80/x
  3. Step 3: Cross multiply
    100,415.75x = 138,569.14 × 55,092.80
  4. Step 4: Simplify right side
    100,415.75x = 7,634,161,916.19
  5. Step 5: Solve for x
    x = 7,634,161,916.19/100,415.75
  6. Step 6: Final answer
    x = 76,025.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.