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Finding the Fourth Proportional to 126,297.84, 174,289.91 and 69,708

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Solution

The fourth proportional to 126,297.84, 174,289.91 and 69,708 is: 96,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,297.84 : 174,289.91 = 69,708 : x
  2. Step 2: Convert to fraction form
    126,297.84/174,289.91 = 69,708/x
  3. Step 3: Cross multiply
    126,297.84x = 174,289.91 × 69,708
  4. Step 4: Simplify right side
    126,297.84x = 12,149,400,697.74
  5. Step 5: Solve for x
    x = 12,149,400,697.74/126,297.84
  6. Step 6: Final answer
    x = 96,196.43

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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.