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Finding the Fourth Proportional to 386,665.94, 580,008.63 and 106,182.38

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Solution

The fourth proportional to 386,665.94, 580,008.63 and 106,182.38 is: 159,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,665.94 : 580,008.63 = 106,182.38 : x
  2. Step 2: Convert to fraction form
    386,665.94/580,008.63 = 106,182.38/x
  3. Step 3: Cross multiply
    386,665.94x = 580,008.63 × 106,182.38
  4. Step 4: Simplify right side
    386,665.94x = 61,586,693,853.90
  5. Step 5: Solve for x
    x = 61,586,693,853.90/386,665.94
  6. Step 6: Final answer
    x = 159,276.23

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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.