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Finding the Fourth Proportional to 212,105.52, 292,698.09 and 116,611.47

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Solution

The fourth proportional to 212,105.52, 292,698.09 and 116,611.47 is: 160,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,105.52 : 292,698.09 = 116,611.47 : x
  2. Step 2: Convert to fraction form
    212,105.52/292,698.09 = 116,611.47/x
  3. Step 3: Cross multiply
    212,105.52x = 292,698.09 × 116,611.47
  4. Step 4: Simplify right side
    212,105.52x = 34,131,954,541.09
  5. Step 5: Solve for x
    x = 34,131,954,541.09/212,105.52
  6. Step 6: Final answer
    x = 160,919.69

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