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Finding the Fourth Proportional to 228,689.22, 343,348 and 116,444.82

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Solution

The fourth proportional to 228,689.22, 343,348 and 116,444.82 is: 174,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,689.22 : 343,348 = 116,444.82 : x
  2. Step 2: Convert to fraction form
    228,689.22/343,348 = 116,444.82/x
  3. Step 3: Cross multiply
    228,689.22x = 343,348 × 116,444.82
  4. Step 4: Simplify right side
    228,689.22x = 39,981,096,057.36
  5. Step 5: Solve for x
    x = 39,981,096,057.36/228,689.22
  6. Step 6: Final answer
    x = 174,827.20

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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.