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Finding the Fourth Proportional to 227,853.14, 314,453.14 and 132,389.78

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Solution

The fourth proportional to 227,853.14, 314,453.14 and 132,389.78 is: 182,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,853.14 : 314,453.14 = 132,389.78 : x
  2. Step 2: Convert to fraction form
    227,853.14/314,453.14 = 132,389.78/x
  3. Step 3: Cross multiply
    227,853.14x = 314,453.14 × 132,389.78
  4. Step 4: Simplify right side
    227,853.14x = 41,630,380,121.67
  5. Step 5: Solve for x
    x = 41,630,380,121.67/227,853.14
  6. Step 6: Final answer
    x = 182,707.08

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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.