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Finding the Fourth Proportional to 293,957.32, 405,658.50 and 159,821.32

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Solution

The fourth proportional to 293,957.32, 405,658.50 and 159,821.32 is: 220,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,957.32 : 405,658.50 = 159,821.32 : x
  2. Step 2: Convert to fraction form
    293,957.32/405,658.50 = 159,821.32/x
  3. Step 3: Cross multiply
    293,957.32x = 405,658.50 × 159,821.32
  4. Step 4: Simplify right side
    293,957.32x = 64,832,876,939.22
  5. Step 5: Solve for x
    x = 64,832,876,939.22/293,957.32
  6. Step 6: Final answer
    x = 220,552.01

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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.