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Finding the Fourth Proportional to 100,708.74, 150,959.43 and 53,949.06

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Solution

The fourth proportional to 100,708.74, 150,959.43 and 53,949.06 is: 80,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,708.74 : 150,959.43 = 53,949.06 : x
  2. Step 2: Convert to fraction form
    100,708.74/150,959.43 = 53,949.06/x
  3. Step 3: Cross multiply
    100,708.74x = 150,959.43 × 53,949.06
  4. Step 4: Simplify right side
    100,708.74x = 8,144,119,346.64
  5. Step 5: Solve for x
    x = 8,144,119,346.64/100,708.74
  6. Step 6: Final answer
    x = 80,868.05

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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.