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Finding the Fourth Proportional to 126,786, 174,964.68 and 70,201.02

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Solution

The fourth proportional to 126,786, 174,964.68 and 70,201.02 is: 96,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,786 : 174,964.68 = 70,201.02 : x
  2. Step 2: Convert to fraction form
    126,786/174,964.68 = 70,201.02/x
  3. Step 3: Cross multiply
    126,786x = 174,964.68 × 70,201.02
  4. Step 4: Simplify right side
    126,786x = 12,282,698,999.97
  5. Step 5: Solve for x
    x = 12,282,698,999.97/126,786
  6. Step 6: Final answer
    x = 96,877.41

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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.