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Finding the Fourth Proportional to 227,143.31, 340,498.08 and 84,950.03

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Solution

The fourth proportional to 227,143.31, 340,498.08 and 84,950.03 is: 127,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,143.31 : 340,498.08 = 84,950.03 : x
  2. Step 2: Convert to fraction form
    227,143.31/340,498.08 = 84,950.03/x
  3. Step 3: Cross multiply
    227,143.31x = 340,498.08 × 84,950.03
  4. Step 4: Simplify right side
    227,143.31x = 28,925,322,962.19
  5. Step 5: Solve for x
    x = 28,925,322,962.19/227,143.31
  6. Step 6: Final answer
    x = 127,343.94

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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.