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Finding the Fourth Proportional to 211,772.91, 292,251.33 and 116,280

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Solution

The fourth proportional to 211,772.91, 292,251.33 and 116,280 is: 160,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,772.91 : 292,251.33 = 116,280 : x
  2. Step 2: Convert to fraction form
    211,772.91/292,251.33 = 116,280/x
  3. Step 3: Cross multiply
    211,772.91x = 292,251.33 × 116,280
  4. Step 4: Simplify right side
    211,772.91x = 33,982,984,652.40
  5. Step 5: Solve for x
    x = 33,982,984,652.40/211,772.91
  6. Step 6: Final answer
    x = 160,468.99

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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.