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Finding the Fourth Proportional to 100,217.24, 138,303.42 and 55,505.24

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Solution

The fourth proportional to 100,217.24, 138,303.42 and 55,505.24 is: 76,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,217.24 : 138,303.42 = 55,505.24 : x
  2. Step 2: Convert to fraction form
    100,217.24/138,303.42 = 55,505.24/x
  3. Step 3: Cross multiply
    100,217.24x = 138,303.42 × 55,505.24
  4. Step 4: Simplify right side
    100,217.24x = 7,676,564,519.92
  5. Step 5: Solve for x
    x = 7,676,564,519.92/100,217.24
  6. Step 6: Final answer
    x = 76,599.24

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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.