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Finding the Fourth Proportional to 122,114.24, 168,433.51 and 85,892.51

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Solution

The fourth proportional to 122,114.24, 168,433.51 and 85,892.51 is: 118,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,114.24 : 168,433.51 = 85,892.51 : x
  2. Step 2: Convert to fraction form
    122,114.24/168,433.51 = 85,892.51/x
  3. Step 3: Cross multiply
    122,114.24x = 168,433.51 × 85,892.51
  4. Step 4: Simplify right side
    122,114.24x = 14,467,176,099.84
  5. Step 5: Solve for x
    x = 14,467,176,099.84/122,114.24
  6. Step 6: Final answer
    x = 118,472.47

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