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Finding the Fourth Proportional to 171,586.62, 257,412.26 and 65,002.50

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Solution

The fourth proportional to 171,586.62, 257,412.26 and 65,002.50 is: 97,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,586.62 : 257,412.26 = 65,002.50 : x
  2. Step 2: Convert to fraction form
    171,586.62/257,412.26 = 65,002.50/x
  3. Step 3: Cross multiply
    171,586.62x = 257,412.26 × 65,002.50
  4. Step 4: Simplify right side
    171,586.62x = 16,732,440,593.16
  5. Step 5: Solve for x
    x = 16,732,440,593.16/171,586.62
  6. Step 6: Final answer
    x = 97,516.00

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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.