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Finding the Fourth Proportional to 301,991.84, 416,738.12 and 166,024.81

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Solution

The fourth proportional to 301,991.84, 416,738.12 and 166,024.81 is: 229,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,991.84 : 416,738.12 = 166,024.81 : x
  2. Step 2: Convert to fraction form
    301,991.84/416,738.12 = 166,024.81/x
  3. Step 3: Cross multiply
    301,991.84x = 416,738.12 × 166,024.81
  4. Step 4: Simplify right side
    301,991.84x = 69,188,867,192.76
  5. Step 5: Solve for x
    x = 69,188,867,192.76/301,991.84
  6. Step 6: Final answer
    x = 229,108.40

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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.