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Finding the Fourth Proportional to 212,072.32, 292,656 and 116,576.97

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Solution

The fourth proportional to 212,072.32, 292,656 and 116,576.97 is: 160,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,072.32 : 292,656 = 116,576.97 : x
  2. Step 2: Convert to fraction form
    212,072.32/292,656 = 116,576.97/x
  3. Step 3: Cross multiply
    212,072.32x = 292,656 × 116,576.97
  4. Step 4: Simplify right side
    212,072.32x = 34,116,949,732.32
  5. Step 5: Solve for x
    x = 34,116,949,732.32/212,072.32
  6. Step 6: Final answer
    x = 160,874.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.