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Finding the Fourth Proportional to 293,700.63, 405,322.89 and 166,401.03

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Solution

The fourth proportional to 293,700.63, 405,322.89 and 166,401.03 is: 229,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,700.63 : 405,322.89 = 166,401.03 : x
  2. Step 2: Convert to fraction form
    293,700.63/405,322.89 = 166,401.03/x
  3. Step 3: Cross multiply
    293,700.63x = 405,322.89 × 166,401.03
  4. Step 4: Simplify right side
    293,700.63x = 67,446,146,378.58
  5. Step 5: Solve for x
    x = 67,446,146,378.58/293,700.63
  6. Step 6: Final answer
    x = 229,642.50

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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.