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Finding the Fourth Proportional to 293,746.50, 405,372.60 and 159,610.50

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Solution

The fourth proportional to 293,746.50, 405,372.60 and 159,610.50 is: 220,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,746.50 : 405,372.60 = 159,610.50 : x
  2. Step 2: Convert to fraction form
    293,746.50/405,372.60 = 159,610.50/x
  3. Step 3: Cross multiply
    293,746.50x = 405,372.60 × 159,610.50
  4. Step 4: Simplify right side
    293,746.50x = 64,701,723,372.30
  5. Step 5: Solve for x
    x = 64,701,723,372.30/293,746.50
  6. Step 6: Final answer
    x = 220,263.81

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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.