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Finding the Fourth Proportional to 164,894.31, 247,384.10 and 96,563.56

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Solution

The fourth proportional to 164,894.31, 247,384.10 and 96,563.56 is: 144,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,894.31 : 247,384.10 = 96,563.56 : x
  2. Step 2: Convert to fraction form
    164,894.31/247,384.10 = 96,563.56/x
  3. Step 3: Cross multiply
    164,894.31x = 247,384.10 × 96,563.56
  4. Step 4: Simplify right side
    164,894.31x = 23,888,289,571.92
  5. Step 5: Solve for x
    x = 23,888,289,571.92/164,894.31
  6. Step 6: Final answer
    x = 144,870.31

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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.