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Finding the Fourth Proportional to 164,593.76, 246,889.82 and 57,952.40

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Solution

The fourth proportional to 164,593.76, 246,889.82 and 57,952.40 is: 86,928.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,593.76 : 246,889.82 = 57,952.40 : x
  2. Step 2: Convert to fraction form
    164,593.76/246,889.82 = 57,952.40/x
  3. Step 3: Cross multiply
    164,593.76x = 246,889.82 × 57,952.40
  4. Step 4: Simplify right side
    164,593.76x = 14,307,857,604.57
  5. Step 5: Solve for x
    x = 14,307,857,604.57/164,593.76
  6. Step 6: Final answer
    x = 86,928.31

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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.