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Finding the Fourth Proportional to 263,805.35, 364,050.11 and 142,946.57

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Solution

The fourth proportional to 263,805.35, 364,050.11 and 142,946.57 is: 197,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,805.35 : 364,050.11 = 142,946.57 : x
  2. Step 2: Convert to fraction form
    263,805.35/364,050.11 = 142,946.57/x
  3. Step 3: Cross multiply
    263,805.35x = 364,050.11 × 142,946.57
  4. Step 4: Simplify right side
    263,805.35x = 52,039,711,997.64
  5. Step 5: Solve for x
    x = 52,039,711,997.64/263,805.35
  6. Step 6: Final answer
    x = 197,265.57

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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.