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Finding the Fourth Proportional to 126,793.84, 174,975.50 and 70,205.22

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Solution

The fourth proportional to 126,793.84, 174,975.50 and 70,205.22 is: 96,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,793.84 : 174,975.50 = 70,205.22 : x
  2. Step 2: Convert to fraction form
    126,793.84/174,975.50 = 70,205.22/x
  3. Step 3: Cross multiply
    126,793.84x = 174,975.50 × 70,205.22
  4. Step 4: Simplify right side
    126,793.84x = 12,284,193,472.11
  5. Step 5: Solve for x
    x = 12,284,193,472.11/126,793.84
  6. Step 6: Final answer
    x = 96,883.20

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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.