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Finding the Fourth Proportional to 122,492.63, 168,997.15 and 77,174.66

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Solution

The fourth proportional to 122,492.63, 168,997.15 and 77,174.66 is: 106,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,492.63 : 168,997.15 = 77,174.66 : x
  2. Step 2: Convert to fraction form
    122,492.63/168,997.15 = 77,174.66/x
  3. Step 3: Cross multiply
    122,492.63x = 168,997.15 × 77,174.66
  4. Step 4: Simplify right side
    122,492.63x = 13,042,297,592.22
  5. Step 5: Solve for x
    x = 13,042,297,592.22/122,492.63
  6. Step 6: Final answer
    x = 106,474.14

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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.