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Finding the Fourth Proportional to 171,686.50, 257,573.50 and 65,114

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Solution

The fourth proportional to 171,686.50, 257,573.50 and 65,114 is: 97,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,686.50 : 257,573.50 = 65,114 : x
  2. Step 2: Convert to fraction form
    171,686.50/257,573.50 = 65,114/x
  3. Step 3: Cross multiply
    171,686.50x = 257,573.50 × 65,114
  4. Step 4: Simplify right side
    171,686.50x = 16,771,640,879
  5. Step 5: Solve for x
    x = 16,771,640,879/171,686.50
  6. Step 6: Final answer
    x = 97,687.59

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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.