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Finding the Fourth Proportional to 100,212.24, 138,296.52 and 55,500.24

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Solution

The fourth proportional to 100,212.24, 138,296.52 and 55,500.24 is: 76,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,212.24 : 138,296.52 = 55,500.24 : x
  2. Step 2: Convert to fraction form
    100,212.24/138,296.52 = 55,500.24/x
  3. Step 3: Cross multiply
    100,212.24x = 138,296.52 × 55,500.24
  4. Step 4: Simplify right side
    100,212.24x = 7,675,490,051.16
  5. Step 5: Solve for x
    x = 7,675,490,051.16/100,212.24
  6. Step 6: Final answer
    x = 76,592.34

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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.