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Finding the Fourth Proportional to 209,650.56, 313,996.76 and 164,569.30

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Solution

The fourth proportional to 209,650.56, 313,996.76 and 164,569.30 is: 246,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,650.56 : 313,996.76 = 164,569.30 : x
  2. Step 2: Convert to fraction form
    209,650.56/313,996.76 = 164,569.30/x
  3. Step 3: Cross multiply
    209,650.56x = 313,996.76 × 164,569.30
  4. Step 4: Simplify right side
    209,650.56x = 51,674,226,995.47
  5. Step 5: Solve for x
    x = 51,674,226,995.47/209,650.56
  6. Step 6: Final answer
    x = 246,477.89

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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.