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Finding the Fourth Proportional to 164,745.77, 247,142.34 and 58,144.10

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Solution

The fourth proportional to 164,745.77, 247,142.34 and 58,144.10 is: 87,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,745.77 : 247,142.34 = 58,144.10 : x
  2. Step 2: Convert to fraction form
    164,745.77/247,142.34 = 58,144.10/x
  3. Step 3: Cross multiply
    164,745.77x = 247,142.34 × 58,144.10
  4. Step 4: Simplify right side
    164,745.77x = 14,369,867,695.48
  5. Step 5: Solve for x
    x = 14,369,867,695.48/164,745.77
  6. Step 6: Final answer
    x = 87,224.50

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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.