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Finding the Fourth Proportional to 166,980.56, 250,509.24 and 54,664.40

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Solution

The fourth proportional to 166,980.56, 250,509.24 and 54,664.40 is: 82,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,980.56 : 250,509.24 = 54,664.40 : x
  2. Step 2: Convert to fraction form
    166,980.56/250,509.24 = 54,664.40/x
  3. Step 3: Cross multiply
    166,980.56x = 250,509.24 × 54,664.40
  4. Step 4: Simplify right side
    166,980.56x = 13,693,937,299.06
  5. Step 5: Solve for x
    x = 13,693,937,299.06/166,980.56
  6. Step 6: Final answer
    x = 82,009.17

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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.