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Finding the Fourth Proportional to 227,023.16, 340,554.32 and 58,542

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Solution

The fourth proportional to 227,023.16, 340,554.32 and 58,542 is: 87,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,023.16 : 340,554.32 = 58,542 : x
  2. Step 2: Convert to fraction form
    227,023.16/340,554.32 = 58,542/x
  3. Step 3: Cross multiply
    227,023.16x = 340,554.32 × 58,542
  4. Step 4: Simplify right side
    227,023.16x = 19,936,731,001.44
  5. Step 5: Solve for x
    x = 19,936,731,001.44/227,023.16
  6. Step 6: Final answer
    x = 87,818.05

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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.