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Finding the Fourth Proportional to 100,283.64, 150,448.76 and 29,207.96

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Solution

The fourth proportional to 100,283.64, 150,448.76 and 29,207.96 is: 43,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,283.64 : 150,448.76 = 29,207.96 : x
  2. Step 2: Convert to fraction form
    100,283.64/150,448.76 = 29,207.96/x
  3. Step 3: Cross multiply
    100,283.64x = 150,448.76 × 29,207.96
  4. Step 4: Simplify right side
    100,283.64x = 4,394,301,364.13
  5. Step 5: Solve for x
    x = 4,394,301,364.13/100,283.64
  6. Step 6: Final answer
    x = 43,818.73

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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.