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Finding the Fourth Proportional to 228,324.88, 342,341.52 and 109,760.32

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Solution

The fourth proportional to 228,324.88, 342,341.52 and 109,760.32 is: 164,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,324.88 : 342,341.52 = 109,760.32 : x
  2. Step 2: Convert to fraction form
    228,324.88/342,341.52 = 109,760.32/x
  3. Step 3: Cross multiply
    228,324.88x = 342,341.52 × 109,760.32
  4. Step 4: Simplify right side
    228,324.88x = 37,575,514,784.49
  5. Step 5: Solve for x
    x = 37,575,514,784.49/228,324.88
  6. Step 6: Final answer
    x = 164,570.39

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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.