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Finding the Fourth Proportional to 100,776.98, 150,999.38 and 58,538.50

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Solution

The fourth proportional to 100,776.98, 150,999.38 and 58,538.50 is: 87,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,776.98 : 150,999.38 = 58,538.50 : x
  2. Step 2: Convert to fraction form
    100,776.98/150,999.38 = 58,538.50/x
  3. Step 3: Cross multiply
    100,776.98x = 150,999.38 × 58,538.50
  4. Step 4: Simplify right side
    100,776.98x = 8,839,277,206.13
  5. Step 5: Solve for x
    x = 8,839,277,206.13/100,776.98
  6. Step 6: Final answer
    x = 87,711.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.