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Finding the Fourth Proportional to 263,614.55, 363,786.27 and 142,753.07

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Solution

The fourth proportional to 263,614.55, 363,786.27 and 142,753.07 is: 196,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,614.55 : 363,786.27 = 142,753.07 : x
  2. Step 2: Convert to fraction form
    263,614.55/363,786.27 = 142,753.07/x
  3. Step 3: Cross multiply
    263,614.55x = 363,786.27 × 142,753.07
  4. Step 4: Simplify right side
    263,614.55x = 51,931,607,775.81
  5. Step 5: Solve for x
    x = 51,931,607,775.81/263,614.55
  6. Step 6: Final answer
    x = 196,998.26

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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.