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Finding the Fourth Proportional to 100,706.22, 138,899.07 and 96,239.34

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Solution

The fourth proportional to 100,706.22, 138,899.07 and 96,239.34 is: 132,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,706.22 : 138,899.07 = 96,239.34 : x
  2. Step 2: Convert to fraction form
    100,706.22/138,899.07 = 96,239.34/x
  3. Step 3: Cross multiply
    100,706.22x = 138,899.07 × 96,239.34
  4. Step 4: Simplify right side
    100,706.22x = 13,367,554,823.41
  5. Step 5: Solve for x
    x = 13,367,554,823.41/100,706.22
  6. Step 6: Final answer
    x = 132,738.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.