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Finding the Fourth Proportional to 298,673.42, 412,169.14 and 164,537.42

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Solution

The fourth proportional to 298,673.42, 412,169.14 and 164,537.42 is: 227,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,673.42 : 412,169.14 = 164,537.42 : x
  2. Step 2: Convert to fraction form
    298,673.42/412,169.14 = 164,537.42/x
  3. Step 3: Cross multiply
    298,673.42x = 412,169.14 × 164,537.42
  4. Step 4: Simplify right side
    298,673.42x = 67,817,246,899.22
  5. Step 5: Solve for x
    x = 67,817,246,899.22/298,673.42
  6. Step 6: Final answer
    x = 227,061.54

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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.