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Finding the Fourth Proportional to 293,599.87, 405,143.07 and 162,781.01

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Solution

The fourth proportional to 293,599.87, 405,143.07 and 162,781.01 is: 224,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,599.87 : 405,143.07 = 162,781.01 : x
  2. Step 2: Convert to fraction form
    293,599.87/405,143.07 = 162,781.01/x
  3. Step 3: Cross multiply
    293,599.87x = 405,143.07 × 162,781.01
  4. Step 4: Simplify right side
    293,599.87x = 65,949,598,129.10
  5. Step 5: Solve for x
    x = 65,949,598,129.10/293,599.87
  6. Step 6: Final answer
    x = 224,624.07

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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.