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Finding the Fourth Proportional to 154,093.98, 212,633.85 and 105,737.39

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Solution

The fourth proportional to 154,093.98, 212,633.85 and 105,737.39 is: 145,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,093.98 : 212,633.85 = 105,737.39 : x
  2. Step 2: Convert to fraction form
    154,093.98/212,633.85 = 105,737.39/x
  3. Step 3: Cross multiply
    154,093.98x = 212,633.85 × 105,737.39
  4. Step 4: Simplify right side
    154,093.98x = 22,483,347,261.48
  5. Step 5: Solve for x
    x = 22,483,347,261.48/154,093.98
  6. Step 6: Final answer
    x = 145,906.72

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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.