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Finding the Fourth Proportional to 100,581.66, 138,802.77 and 55,262.57

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Solution

The fourth proportional to 100,581.66, 138,802.77 and 55,262.57 is: 76,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,581.66 : 138,802.77 = 55,262.57 : x
  2. Step 2: Convert to fraction form
    100,581.66/138,802.77 = 55,262.57/x
  3. Step 3: Cross multiply
    100,581.66x = 138,802.77 × 55,262.57
  4. Step 4: Simplify right side
    100,581.66x = 7,670,597,099.31
  5. Step 5: Solve for x
    x = 7,670,597,099.31/100,581.66
  6. Step 6: Final answer
    x = 76,262.38

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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.