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Finding the Fourth Proportional to 293,669, 405,263.22 and 159,533

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Solution

The fourth proportional to 293,669, 405,263.22 and 159,533 is: 220,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,669 : 405,263.22 = 159,533 : x
  2. Step 2: Convert to fraction form
    293,669/405,263.22 = 159,533/x
  3. Step 3: Cross multiply
    293,669x = 405,263.22 × 159,533
  4. Step 4: Simplify right side
    293,669x = 64,652,857,276.26
  5. Step 5: Solve for x
    x = 64,652,857,276.26/293,669
  6. Step 6: Final answer
    x = 220,155.54

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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.