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Finding the Fourth Proportional to 122,093.79, 182,845.42 and 105,560.07

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Solution

The fourth proportional to 122,093.79, 182,845.42 and 105,560.07 is: 158,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,093.79 : 182,845.42 = 105,560.07 : x
  2. Step 2: Convert to fraction form
    122,093.79/182,845.42 = 105,560.07/x
  3. Step 3: Cross multiply
    122,093.79x = 182,845.42 × 105,560.07
  4. Step 4: Simplify right side
    122,093.79x = 19,301,175,070.48
  5. Step 5: Solve for x
    x = 19,301,175,070.48/122,093.79
  6. Step 6: Final answer
    x = 158,084.82

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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.