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Finding the Fourth Proportional to 126,706.35, 174,837.49 and 75,708.30

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Solution

The fourth proportional to 126,706.35, 174,837.49 and 75,708.30 is: 104,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,706.35 : 174,837.49 = 75,708.30 : x
  2. Step 2: Convert to fraction form
    126,706.35/174,837.49 = 75,708.30/x
  3. Step 3: Cross multiply
    126,706.35x = 174,837.49 × 75,708.30
  4. Step 4: Simplify right side
    126,706.35x = 13,236,649,720.83
  5. Step 5: Solve for x
    x = 13,236,649,720.83/126,706.35
  6. Step 6: Final answer
    x = 104,467.14

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1.5x scale

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.