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Finding the Fourth Proportional to 100,539.99, 138,746.75 and 55,222.61

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Solution

The fourth proportional to 100,539.99, 138,746.75 and 55,222.61 is: 76,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,539.99 : 138,746.75 = 55,222.61 : x
  2. Step 2: Convert to fraction form
    100,539.99/138,746.75 = 55,222.61/x
  3. Step 3: Cross multiply
    100,539.99x = 138,746.75 × 55,222.61
  4. Step 4: Simplify right side
    100,539.99x = 7,661,956,694.17
  5. Step 5: Solve for x
    x = 7,661,956,694.17/100,539.99
  6. Step 6: Final answer
    x = 76,208.05

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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.