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Finding the Fourth Proportional to 126,782, 174,958.50 and 69,420.28

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Solution

The fourth proportional to 126,782, 174,958.50 and 69,420.28 is: 95,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,782 : 174,958.50 = 69,420.28 : x
  2. Step 2: Convert to fraction form
    126,782/174,958.50 = 69,420.28/x
  3. Step 3: Cross multiply
    126,782x = 174,958.50 × 69,420.28
  4. Step 4: Simplify right side
    126,782x = 12,145,668,058.38
  5. Step 5: Solve for x
    x = 12,145,668,058.38/126,782
  6. Step 6: Final answer
    x = 95,799.63

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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.