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Finding the Fourth Proportional to 109,754.50, 151,461.26 and 59,453.50

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Solution

The fourth proportional to 109,754.50, 151,461.26 and 59,453.50 is: 82,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,754.50 : 151,461.26 = 59,453.50 : x
  2. Step 2: Convert to fraction form
    109,754.50/151,461.26 = 59,453.50/x
  3. Step 3: Cross multiply
    109,754.50x = 151,461.26 × 59,453.50
  4. Step 4: Simplify right side
    109,754.50x = 9,004,901,724.14
  5. Step 5: Solve for x
    x = 9,004,901,724.14/109,754.50
  6. Step 6: Final answer
    x = 82,045.85

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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.