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Finding the Fourth Proportional to 100,098.09, 138,191.04 and 69,516.54

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Solution

The fourth proportional to 100,098.09, 138,191.04 and 69,516.54 is: 95,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,098.09 : 138,191.04 = 69,516.54 : x
  2. Step 2: Convert to fraction form
    100,098.09/138,191.04 = 69,516.54/x
  3. Step 3: Cross multiply
    100,098.09x = 138,191.04 × 69,516.54
  4. Step 4: Simplify right side
    100,098.09x = 9,606,562,959.80
  5. Step 5: Solve for x
    x = 9,606,562,959.80/100,098.09
  6. Step 6: Final answer
    x = 95,971.49

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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.