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Finding the Fourth Proportional to 300,011.18, 414,029.79 and 165,883.82

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Solution

The fourth proportional to 300,011.18, 414,029.79 and 165,883.82 is: 228,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,011.18 : 414,029.79 = 165,883.82 : x
  2. Step 2: Convert to fraction form
    300,011.18/414,029.79 = 165,883.82/x
  3. Step 3: Cross multiply
    300,011.18x = 414,029.79 × 165,883.82
  4. Step 4: Simplify right side
    300,011.18x = 68,680,843,159.00
  5. Step 5: Solve for x
    x = 68,680,843,159.00/300,011.18
  6. Step 6: Final answer
    x = 228,927.61

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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.