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Finding the Fourth Proportional to 100,873.30, 151,180.35 and 41,749.78

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Solution

The fourth proportional to 100,873.30, 151,180.35 and 41,749.78 is: 62,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,873.30 : 151,180.35 = 41,749.78 : x
  2. Step 2: Convert to fraction form
    100,873.30/151,180.35 = 41,749.78/x
  3. Step 3: Cross multiply
    100,873.30x = 151,180.35 × 41,749.78
  4. Step 4: Simplify right side
    100,873.30x = 6,311,746,352.82
  5. Step 5: Solve for x
    x = 6,311,746,352.82/100,873.30
  6. Step 6: Final answer
    x = 62,571.03

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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.