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Finding the Fourth Proportional to 100,622.49, 151,002.99 and 41,458.07

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Solution

The fourth proportional to 100,622.49, 151,002.99 and 41,458.07 is: 62,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,622.49 : 151,002.99 = 41,458.07 : x
  2. Step 2: Convert to fraction form
    100,622.49/151,002.99 = 41,458.07/x
  3. Step 3: Cross multiply
    100,622.49x = 151,002.99 × 41,458.07
  4. Step 4: Simplify right side
    100,622.49x = 6,260,291,774.61
  5. Step 5: Solve for x
    x = 6,260,291,774.61/100,622.49
  6. Step 6: Final answer
    x = 62,215.63

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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.