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Finding the Fourth Proportional to 126,850, 175,053 and 70,265.02

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Solution

The fourth proportional to 126,850, 175,053 and 70,265.02 is: 96,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,850 : 175,053 = 70,265.02 : x
  2. Step 2: Convert to fraction form
    126,850/175,053 = 70,265.02/x
  3. Step 3: Cross multiply
    126,850x = 175,053 × 70,265.02
  4. Step 4: Simplify right side
    126,850x = 12,300,102,546.06
  5. Step 5: Solve for x
    x = 12,300,102,546.06/126,850
  6. Step 6: Final answer
    x = 96,965.73

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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.