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Finding the Fourth Proportional to 171,898.65, 257,900.76 and 82,056.01

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Solution

The fourth proportional to 171,898.65, 257,900.76 and 82,056.01 is: 123,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,898.65 : 257,900.76 = 82,056.01 : x
  2. Step 2: Convert to fraction form
    171,898.65/257,900.76 = 82,056.01/x
  3. Step 3: Cross multiply
    171,898.65x = 257,900.76 × 82,056.01
  4. Step 4: Simplify right side
    171,898.65x = 21,162,306,696.82
  5. Step 5: Solve for x
    x = 21,162,306,696.82/171,898.65
  6. Step 6: Final answer
    x = 123,109.21

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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.