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Finding the Fourth Proportional to 126,122, 174,049.54 and 69,535.40

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Solution

The fourth proportional to 126,122, 174,049.54 and 69,535.40 is: 95,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,122 : 174,049.54 = 69,535.40 : x
  2. Step 2: Convert to fraction form
    126,122/174,049.54 = 69,535.40/x
  3. Step 3: Cross multiply
    126,122x = 174,049.54 × 69,535.40
  4. Step 4: Simplify right side
    126,122x = 12,102,604,383.72
  5. Step 5: Solve for x
    x = 12,102,604,383.72/126,122
  6. Step 6: Final answer
    x = 95,959.50

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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.