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Finding the Fourth Proportional to 102,408.64, 141,388.32 and 78,490.24

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Solution

The fourth proportional to 102,408.64, 141,388.32 and 78,490.24 is: 108,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408.64 : 141,388.32 = 78,490.24 : x
  2. Step 2: Convert to fraction form
    102,408.64/141,388.32 = 78,490.24/x
  3. Step 3: Cross multiply
    102,408.64x = 141,388.32 × 78,490.24
  4. Step 4: Simplify right side
    102,408.64x = 11,097,603,170.00
  5. Step 5: Solve for x
    x = 11,097,603,170.00/102,408.64
  6. Step 6: Final answer
    x = 108,365.89

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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.