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Finding the Fourth Proportional to 293,757.72, 405,384.66 and 166,457.58

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Solution

The fourth proportional to 293,757.72, 405,384.66 and 166,457.58 is: 229,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,757.72 : 405,384.66 = 166,457.58 : x
  2. Step 2: Convert to fraction form
    293,757.72/405,384.66 = 166,457.58/x
  3. Step 3: Cross multiply
    293,757.72x = 405,384.66 × 166,457.58
  4. Step 4: Simplify right side
    293,757.72x = 67,479,349,472.72
  5. Step 5: Solve for x
    x = 67,479,349,472.72/293,757.72
  6. Step 6: Final answer
    x = 229,710.90

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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.