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Finding the Fourth Proportional to 329,092.61, 493,541.09 and 139,550.18

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Solution

The fourth proportional to 329,092.61, 493,541.09 and 139,550.18 is: 209,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,092.61 : 493,541.09 = 139,550.18 : x
  2. Step 2: Convert to fraction form
    329,092.61/493,541.09 = 139,550.18/x
  3. Step 3: Cross multiply
    329,092.61x = 493,541.09 × 139,550.18
  4. Step 4: Simplify right side
    329,092.61x = 68,873,745,828.07
  5. Step 5: Solve for x
    x = 68,873,745,828.07/329,092.61
  6. Step 6: Final answer
    x = 209,283.78

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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.