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Finding the Fourth Proportional to 164,059, 246,109 and 64,206.28

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Solution

The fourth proportional to 164,059, 246,109 and 64,206.28 is: 96,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,059 : 246,109 = 64,206.28 : x
  2. Step 2: Convert to fraction form
    164,059/246,109 = 64,206.28/x
  3. Step 3: Cross multiply
    164,059x = 246,109 × 64,206.28
  4. Step 4: Simplify right side
    164,059x = 15,801,743,364.52
  5. Step 5: Solve for x
    x = 15,801,743,364.52/164,059
  6. Step 6: Final answer
    x = 96,317.44

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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.