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Finding the Fourth Proportional to 101,052.54, 151,381.89 and 61,511.58

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Solution

The fourth proportional to 101,052.54, 151,381.89 and 61,511.58 is: 92,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,052.54 : 151,381.89 = 61,511.58 : x
  2. Step 2: Convert to fraction form
    101,052.54/151,381.89 = 61,511.58/x
  3. Step 3: Cross multiply
    101,052.54x = 151,381.89 × 61,511.58
  4. Step 4: Simplify right side
    101,052.54x = 9,311,739,237.29
  5. Step 5: Solve for x
    x = 9,311,739,237.29/101,052.54
  6. Step 6: Final answer
    x = 92,147.50

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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.