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Finding the Fourth Proportional to 171,908.16, 257,898.96 and 53,576.88

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Solution

The fourth proportional to 171,908.16, 257,898.96 and 53,576.88 is: 80,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,908.16 : 257,898.96 = 53,576.88 : x
  2. Step 2: Convert to fraction form
    171,908.16/257,898.96 = 53,576.88/x
  3. Step 3: Cross multiply
    171,908.16x = 257,898.96 × 53,576.88
  4. Step 4: Simplify right side
    171,908.16x = 13,817,421,632.04
  5. Step 5: Solve for x
    x = 13,817,421,632.04/171,908.16
  6. Step 6: Final answer
    x = 80,376.76

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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.