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Finding the Fourth Proportional to 263,750.94, 363,976.38 and 142,893

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Solution

The fourth proportional to 263,750.94, 363,976.38 and 142,893 is: 197,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,750.94 : 363,976.38 = 142,893 : x
  2. Step 2: Convert to fraction form
    263,750.94/363,976.38 = 142,893/x
  3. Step 3: Cross multiply
    263,750.94x = 363,976.38 × 142,893
  4. Step 4: Simplify right side
    263,750.94x = 52,009,676,867.34
  5. Step 5: Solve for x
    x = 52,009,676,867.34/263,750.94
  6. Step 6: Final answer
    x = 197,192.38

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1.5x scale

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.