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Finding the Fourth Proportional to 266,171.84, 367,301.44 and 145,289.12

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Solution

The fourth proportional to 266,171.84, 367,301.44 and 145,289.12 is: 200,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,171.84 : 367,301.44 = 145,289.12 : x
  2. Step 2: Convert to fraction form
    266,171.84/367,301.44 = 145,289.12/x
  3. Step 3: Cross multiply
    266,171.84x = 367,301.44 × 145,289.12
  4. Step 4: Simplify right side
    266,171.84x = 53,364,902,992.33
  5. Step 5: Solve for x
    x = 53,364,902,992.33/266,171.84
  6. Step 6: Final answer
    x = 200,490.42

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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.