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Finding the Fourth Proportional to 122,997.16, 169,737.16 and 69,271.48

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Solution

The fourth proportional to 122,997.16, 169,737.16 and 69,271.48 is: 95,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,997.16 : 169,737.16 = 69,271.48 : x
  2. Step 2: Convert to fraction form
    122,997.16/169,737.16 = 69,271.48/x
  3. Step 3: Cross multiply
    122,997.16x = 169,737.16 × 69,271.48
  4. Step 4: Simplify right side
    122,997.16x = 11,757,944,284.20
  5. Step 5: Solve for x
    x = 11,757,944,284.20/122,997.16
  6. Step 6: Final answer
    x = 95,595.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.