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Finding the Fourth Proportional to 109,806.94, 151,533.57 and 59,505.94

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Solution

The fourth proportional to 109,806.94, 151,533.57 and 59,505.94 is: 82,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,806.94 : 151,533.57 = 59,505.94 : x
  2. Step 2: Convert to fraction form
    109,806.94/151,533.57 = 59,505.94/x
  3. Step 3: Cross multiply
    109,806.94x = 151,533.57 × 59,505.94
  4. Step 4: Simplify right side
    109,806.94x = 9,017,147,524.41
  5. Step 5: Solve for x
    x = 9,017,147,524.41/109,806.94
  6. Step 6: Final answer
    x = 82,118.19

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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.