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Finding the Fourth Proportional to 289,182.24, 399,073.50 and 168,393.96

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Solution

The fourth proportional to 289,182.24, 399,073.50 and 168,393.96 is: 232,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,182.24 : 399,073.50 = 168,393.96 : x
  2. Step 2: Convert to fraction form
    289,182.24/399,073.50 = 168,393.96/x
  3. Step 3: Cross multiply
    289,182.24x = 399,073.50 × 168,393.96
  4. Step 4: Simplify right side
    289,182.24x = 67,201,566,996.06
  5. Step 5: Solve for x
    x = 67,201,566,996.06/289,182.24
  6. Step 6: Final answer
    x = 232,384.83

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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.