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Finding the Fourth Proportional to 117,210.78, 161,965.44 and 85,324.32

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Solution

The fourth proportional to 117,210.78, 161,965.44 and 85,324.32 is: 117,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,210.78 : 161,965.44 = 85,324.32 : x
  2. Step 2: Convert to fraction form
    117,210.78/161,965.44 = 85,324.32/x
  3. Step 3: Cross multiply
    117,210.78x = 161,965.44 × 85,324.32
  4. Step 4: Simplify right side
    117,210.78x = 13,819,591,031.50
  5. Step 5: Solve for x
    x = 13,819,591,031.50/117,210.78
  6. Step 6: Final answer
    x = 117,903.75

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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.