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Finding the Fourth Proportional to 266,415.56, 367,678.44 and 145,574.75

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Solution

The fourth proportional to 266,415.56, 367,678.44 and 145,574.75 is: 200,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,415.56 : 367,678.44 = 145,574.75 : x
  2. Step 2: Convert to fraction form
    266,415.56/367,678.44 = 145,574.75/x
  3. Step 3: Cross multiply
    266,415.56x = 367,678.44 × 145,574.75
  4. Step 4: Simplify right side
    266,415.56x = 53,524,697,127.01
  5. Step 5: Solve for x
    x = 53,524,697,127.01/266,415.56
  6. Step 6: Final answer
    x = 200,906.80

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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.