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Finding the Fourth Proportional to 109,208.16, 150,712.11 and 61,464.60

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Solution

The fourth proportional to 109,208.16, 150,712.11 and 61,464.60 is: 84,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,208.16 : 150,712.11 = 61,464.60 : x
  2. Step 2: Convert to fraction form
    109,208.16/150,712.11 = 61,464.60/x
  3. Step 3: Cross multiply
    109,208.16x = 150,712.11 × 61,464.60
  4. Step 4: Simplify right side
    109,208.16x = 9,263,459,556.31
  5. Step 5: Solve for x
    x = 9,263,459,556.31/109,208.16
  6. Step 6: Final answer
    x = 84,823.88

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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.