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Finding the Fourth Proportional to 100,834.66, 151,251.99 and 34,322.52

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Solution

The fourth proportional to 100,834.66, 151,251.99 and 34,322.52 is: 51,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,834.66 : 151,251.99 = 34,322.52 : x
  2. Step 2: Convert to fraction form
    100,834.66/151,251.99 = 34,322.52/x
  3. Step 3: Cross multiply
    100,834.66x = 151,251.99 × 34,322.52
  4. Step 4: Simplify right side
    100,834.66x = 5,191,349,451.81
  5. Step 5: Solve for x
    x = 5,191,349,451.81/100,834.66
  6. Step 6: Final answer
    x = 51,483.78

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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.