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Finding the Fourth Proportional to 266,053.93, 367,162.20 and 145,202.97

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Solution

The fourth proportional to 266,053.93, 367,162.20 and 145,202.97 is: 200,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,053.93 : 367,162.20 = 145,202.97 : x
  2. Step 2: Convert to fraction form
    266,053.93/367,162.20 = 145,202.97/x
  3. Step 3: Cross multiply
    266,053.93x = 367,162.20 × 145,202.97
  4. Step 4: Simplify right side
    266,053.93x = 53,313,041,911.73
  5. Step 5: Solve for x
    x = 53,313,041,911.73/266,053.93
  6. Step 6: Final answer
    x = 200,384.34

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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.