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Finding the Fourth Proportional to 100,651.15, 150,998.19 and 34,088.95

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Solution

The fourth proportional to 100,651.15, 150,998.19 and 34,088.95 is: 51,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,651.15 : 150,998.19 = 34,088.95 : x
  2. Step 2: Convert to fraction form
    100,651.15/150,998.19 = 34,088.95/x
  3. Step 3: Cross multiply
    100,651.15x = 150,998.19 × 34,088.95
  4. Step 4: Simplify right side
    100,651.15x = 5,147,369,749.00
  5. Step 5: Solve for x
    x = 5,147,369,749.00/100,651.15
  6. Step 6: Final answer
    x = 51,140.69

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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.