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Finding the Fourth Proportional to 109,477.56, 151,092.46 and 61,729.94

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Solution

The fourth proportional to 109,477.56, 151,092.46 and 61,729.94 is: 85,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,477.56 : 151,092.46 = 61,729.94 : x
  2. Step 2: Convert to fraction form
    109,477.56/151,092.46 = 61,729.94/x
  3. Step 3: Cross multiply
    109,477.56x = 151,092.46 × 61,729.94
  4. Step 4: Simplify right side
    109,477.56x = 9,326,928,490.25
  5. Step 5: Solve for x
    x = 9,326,928,490.25/109,477.56
  6. Step 6: Final answer
    x = 85,194.89

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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.