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Finding the Fourth Proportional to 228,614.76, 343,143.48 and 110,369.10

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Solution

The fourth proportional to 228,614.76, 343,143.48 and 110,369.10 is: 165,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,614.76 : 343,143.48 = 110,369.10 : x
  2. Step 2: Convert to fraction form
    228,614.76/343,143.48 = 110,369.10/x
  3. Step 3: Cross multiply
    228,614.76x = 343,143.48 × 110,369.10
  4. Step 4: Simplify right side
    228,614.76x = 37,872,437,058.47
  5. Step 5: Solve for x
    x = 37,872,437,058.47/228,614.76
  6. Step 6: Final answer
    x = 165,660.51

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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.