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Finding the Fourth Proportional to 186,758.26, 280,219.50 and 97,990.86

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Solution

The fourth proportional to 186,758.26, 280,219.50 and 97,990.86 is: 147,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,758.26 : 280,219.50 = 97,990.86 : x
  2. Step 2: Convert to fraction form
    186,758.26/280,219.50 = 97,990.86/x
  3. Step 3: Cross multiply
    186,758.26x = 280,219.50 × 97,990.86
  4. Step 4: Simplify right side
    186,758.26x = 27,458,950,844.59
  5. Step 5: Solve for x
    x = 27,458,950,844.59/186,758.26
  6. Step 6: Final answer
    x = 147,029.38

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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.