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Finding the Fourth Proportional to 214,653.48, 322,034.57 and 151,596.78

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Solution

The fourth proportional to 214,653.48, 322,034.57 and 151,596.78 is: 227,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,653.48 : 322,034.57 = 151,596.78 : x
  2. Step 2: Convert to fraction form
    214,653.48/322,034.57 = 151,596.78/x
  3. Step 3: Cross multiply
    214,653.48x = 322,034.57 × 151,596.78
  4. Step 4: Simplify right side
    214,653.48x = 48,819,403,860.68
  5. Step 5: Solve for x
    x = 48,819,403,860.68/214,653.48
  6. Step 6: Final answer
    x = 227,433.55

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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.