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Finding the Fourth Proportional to 201,674.35, 301,680.42 and 165,730.99

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Solution

The fourth proportional to 201,674.35, 301,680.42 and 165,730.99 is: 247,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,674.35 : 301,680.42 = 165,730.99 : x
  2. Step 2: Convert to fraction form
    201,674.35/301,680.42 = 165,730.99/x
  3. Step 3: Cross multiply
    201,674.35x = 301,680.42 × 165,730.99
  4. Step 4: Simplify right side
    201,674.35x = 49,997,794,670.22
  5. Step 5: Solve for x
    x = 49,997,794,670.22/201,674.35
  6. Step 6: Final answer
    x = 247,913.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.