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Finding the Fourth Proportional to 100,100.34, 138,194.15 and 69,518.79

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Solution

The fourth proportional to 100,100.34, 138,194.15 and 69,518.79 is: 95,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,100.34 : 138,194.15 = 69,518.79 : x
  2. Step 2: Convert to fraction form
    100,100.34/138,194.15 = 69,518.79/x
  3. Step 3: Cross multiply
    100,100.34x = 138,194.15 × 69,518.79
  4. Step 4: Simplify right side
    100,100.34x = 9,607,089,745.48
  5. Step 5: Solve for x
    x = 9,607,089,745.48/100,100.34
  6. Step 6: Final answer
    x = 95,974.60

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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.