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Finding the Fourth Proportional to 293,882.50, 405,558.12 and 159,746.50

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Solution

The fourth proportional to 293,882.50, 405,558.12 and 159,746.50 is: 220,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,882.50 : 405,558.12 = 159,746.50 : x
  2. Step 2: Convert to fraction form
    293,882.50/405,558.12 = 159,746.50/x
  3. Step 3: Cross multiply
    293,882.50x = 405,558.12 × 159,746.50
  4. Step 4: Simplify right side
    293,882.50x = 64,786,490,216.58
  5. Step 5: Solve for x
    x = 64,786,490,216.58/293,882.50
  6. Step 6: Final answer
    x = 220,450.32

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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.