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Finding the Fourth Proportional to 263,808.88, 364,056.25 and 142,949.18

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Solution

The fourth proportional to 263,808.88, 364,056.25 and 142,949.18 is: 197,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,808.88 : 364,056.25 = 142,949.18 : x
  2. Step 2: Convert to fraction form
    263,808.88/364,056.25 = 142,949.18/x
  3. Step 3: Cross multiply
    263,808.88x = 364,056.25 × 142,949.18
  4. Step 4: Simplify right side
    263,808.88x = 52,041,542,411.38
  5. Step 5: Solve for x
    x = 52,041,542,411.38/263,808.88
  6. Step 6: Final answer
    x = 197,269.87

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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.