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Finding the Fourth Proportional to 126,782, 174,959.16 and 70,197.02

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Solution

The fourth proportional to 126,782, 174,959.16 and 70,197.02 is: 96,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,782 : 174,959.16 = 70,197.02 : x
  2. Step 2: Convert to fraction form
    126,782/174,959.16 = 70,197.02/x
  3. Step 3: Cross multiply
    126,782x = 174,959.16 × 70,197.02
  4. Step 4: Simplify right side
    126,782x = 12,281,611,653.70
  5. Step 5: Solve for x
    x = 12,281,611,653.70/126,782
  6. Step 6: Final answer
    x = 96,871.89

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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.