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Finding the Fourth Proportional to 270,151.94, 405,100.69 and 157,864.61

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Solution

The fourth proportional to 270,151.94, 405,100.69 and 157,864.61 is: 236,722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,151.94 : 405,100.69 = 157,864.61 : x
  2. Step 2: Convert to fraction form
    270,151.94/405,100.69 = 157,864.61/x
  3. Step 3: Cross multiply
    270,151.94x = 405,100.69 × 157,864.61
  4. Step 4: Simplify right side
    270,151.94x = 63,951,062,437.58
  5. Step 5: Solve for x
    x = 63,951,062,437.58/270,151.94
  6. Step 6: Final answer
    x = 236,722.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.