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Finding the Fourth Proportional to 100,866.84, 151,324.56 and 30,741.84

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Solution

The fourth proportional to 100,866.84, 151,324.56 and 30,741.84 is: 46,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,866.84 : 151,324.56 = 30,741.84 : x
  2. Step 2: Convert to fraction form
    100,866.84/151,324.56 = 30,741.84/x
  3. Step 3: Cross multiply
    100,866.84x = 151,324.56 × 30,741.84
  4. Step 4: Simplify right side
    100,866.84x = 4,651,995,411.59
  5. Step 5: Solve for x
    x = 4,651,995,411.59/100,866.84
  6. Step 6: Final answer
    x = 46,120.17

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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.