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Finding the Fourth Proportional to 164,923.20, 247,384.80 and 122,932.80

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Solution

The fourth proportional to 164,923.20, 247,384.80 and 122,932.80 is: 184,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,923.20 : 247,384.80 = 122,932.80 : x
  2. Step 2: Convert to fraction form
    164,923.20/247,384.80 = 122,932.80/x
  3. Step 3: Cross multiply
    164,923.20x = 247,384.80 × 122,932.80
  4. Step 4: Simplify right side
    164,923.20x = 30,411,706,141.44
  5. Step 5: Solve for x
    x = 30,411,706,141.44/164,923.20
  6. Step 6: Final answer
    x = 184,399.20

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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.