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Finding the Fourth Proportional to 78,116.37, 117,146.30 and 28,183.04

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Solution

The fourth proportional to 78,116.37, 117,146.30 and 28,183.04 is: 42,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,116.37 : 117,146.30 = 28,183.04 : x
  2. Step 2: Convert to fraction form
    78,116.37/117,146.30 = 28,183.04/x
  3. Step 3: Cross multiply
    78,116.37x = 117,146.30 × 28,183.04
  4. Step 4: Simplify right side
    78,116.37x = 3,301,538,132.11
  5. Step 5: Solve for x
    x = 3,301,538,132.11/78,116.37
  6. Step 6: Final answer
    x = 42,264.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.