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Finding the Fourth Proportional to 243,640.20, 365,447.28 and 77,415.24

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Solution

The fourth proportional to 243,640.20, 365,447.28 and 77,415.24 is: 116,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,640.20 : 365,447.28 = 77,415.24 : x
  2. Step 2: Convert to fraction form
    243,640.20/365,447.28 = 77,415.24/x
  3. Step 3: Cross multiply
    243,640.20x = 365,447.28 × 77,415.24
  4. Step 4: Simplify right side
    243,640.20x = 28,291,188,888.55
  5. Step 5: Solve for x
    x = 28,291,188,888.55/243,640.20
  6. Step 6: Final answer
    x = 116,118.72

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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.