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Finding the Fourth Proportional to 265,099.50, 397,693.92 and 122,887.14

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Solution

The fourth proportional to 265,099.50, 397,693.92 and 122,887.14 is: 184,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,099.50 : 397,693.92 = 122,887.14 : x
  2. Step 2: Convert to fraction form
    265,099.50/397,693.92 = 122,887.14/x
  3. Step 3: Cross multiply
    265,099.50x = 397,693.92 × 122,887.14
  4. Step 4: Simplify right side
    265,099.50x = 48,871,468,424.19
  5. Step 5: Solve for x
    x = 48,871,468,424.19/265,099.50
  6. Step 6: Final answer
    x = 184,351.42

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Why These Related Problems?

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