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Finding the Fourth Proportional to 298,801.14, 412,345.65 and 164,665.14

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Solution

The fourth proportional to 298,801.14, 412,345.65 and 164,665.14 is: 227,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,801.14 : 412,345.65 = 164,665.14 : x
  2. Step 2: Convert to fraction form
    298,801.14/412,345.65 = 164,665.14/x
  3. Step 3: Cross multiply
    298,801.14x = 412,345.65 × 164,665.14
  4. Step 4: Simplify right side
    298,801.14x = 67,898,954,185.64
  5. Step 5: Solve for x
    x = 67,898,954,185.64/298,801.14
  6. Step 6: Final answer
    x = 227,237.94

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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.