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Finding the Fourth Proportional to 293,543.14, 405,103.54 and 166,216

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Solution

The fourth proportional to 293,543.14, 405,103.54 and 166,216 is: 229,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,543.14 : 405,103.54 = 166,216 : x
  2. Step 2: Convert to fraction form
    293,543.14/405,103.54 = 166,216/x
  3. Step 3: Cross multiply
    293,543.14x = 405,103.54 × 166,216
  4. Step 4: Simplify right side
    293,543.14x = 67,334,690,004.64
  5. Step 5: Solve for x
    x = 67,334,690,004.64/293,543.14
  6. Step 6: Final answer
    x = 229,386.01

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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.