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Finding the Fourth Proportional to 298,689.16, 412,206.42 and 164,553.16

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Solution

The fourth proportional to 298,689.16, 412,206.42 and 164,553.16 is: 227,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,689.16 : 412,206.42 = 164,553.16 : x
  2. Step 2: Convert to fraction form
    298,689.16/412,206.42 = 164,553.16/x
  3. Step 3: Cross multiply
    298,689.16x = 412,206.42 × 164,553.16
  4. Step 4: Simplify right side
    298,689.16x = 67,829,868,983.29
  5. Step 5: Solve for x
    x = 67,829,868,983.29/298,689.16
  6. Step 6: Final answer
    x = 227,091.83

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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.