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Finding the Fourth Proportional to 77,714.37, 116,419.01 and 40,298.90

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Solution

The fourth proportional to 77,714.37, 116,419.01 and 40,298.90 is: 60,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,714.37 : 116,419.01 = 40,298.90 : x
  2. Step 2: Convert to fraction form
    77,714.37/116,419.01 = 40,298.90/x
  3. Step 3: Cross multiply
    77,714.37x = 116,419.01 × 40,298.90
  4. Step 4: Simplify right side
    77,714.37x = 4,691,557,258.50
  5. Step 5: Solve for x
    x = 4,691,557,258.50/77,714.37
  6. Step 6: Final answer
    x = 60,369.24

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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.