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Finding the Fourth Proportional to 164,223.28, 246,334.92 and 39,564.28

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Solution

The fourth proportional to 164,223.28, 246,334.92 and 39,564.28 is: 59,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,223.28 : 246,334.92 = 39,564.28 : x
  2. Step 2: Convert to fraction form
    164,223.28/246,334.92 = 39,564.28/x
  3. Step 3: Cross multiply
    164,223.28x = 246,334.92 × 39,564.28
  4. Step 4: Simplify right side
    164,223.28x = 9,746,063,748.66
  5. Step 5: Solve for x
    x = 9,746,063,748.66/164,223.28
  6. Step 6: Final answer
    x = 59,346.42

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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.