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Finding the Fourth Proportional to 228,478.52, 342,939.18 and 110,233.02

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Solution

The fourth proportional to 228,478.52, 342,939.18 and 110,233.02 is: 165,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,478.52 : 342,939.18 = 110,233.02 : x
  2. Step 2: Convert to fraction form
    228,478.52/342,939.18 = 110,233.02/x
  3. Step 3: Cross multiply
    228,478.52x = 342,939.18 × 110,233.02
  4. Step 4: Simplify right side
    228,478.52x = 37,803,221,487.72
  5. Step 5: Solve for x
    x = 37,803,221,487.72/228,478.52
  6. Step 6: Final answer
    x = 165,456.35

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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.