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Finding the Fourth Proportional to 298,643.16, 412,127.56 and 164,507.16

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Solution

The fourth proportional to 298,643.16, 412,127.56 and 164,507.16 is: 227,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,643.16 : 412,127.56 = 164,507.16 : x
  2. Step 2: Convert to fraction form
    298,643.16/412,127.56 = 164,507.16/x
  3. Step 3: Cross multiply
    298,643.16x = 412,127.56 × 164,507.16
  4. Step 4: Simplify right side
    298,643.16x = 67,797,934,453.33
  5. Step 5: Solve for x
    x = 67,797,934,453.33/298,643.16
  6. Step 6: Final answer
    x = 227,019.88

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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.