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Finding the Fourth Proportional to 270,253, 372,960.66 and 151,021

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Solution

The fourth proportional to 270,253, 372,960.66 and 151,021 is: 208,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,253 : 372,960.66 = 151,021 : x
  2. Step 2: Convert to fraction form
    270,253/372,960.66 = 151,021/x
  3. Step 3: Cross multiply
    270,253x = 372,960.66 × 151,021
  4. Step 4: Simplify right side
    270,253x = 56,324,891,833.86
  5. Step 5: Solve for x
    x = 56,324,891,833.86/270,253
  6. Step 6: Final answer
    x = 208,415.42

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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.