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Finding the Fourth Proportional to 171,758.18, 257,638.91 and 65,113.45

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Solution

The fourth proportional to 171,758.18, 257,638.91 and 65,113.45 is: 97,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,758.18 : 257,638.91 = 65,113.45 : x
  2. Step 2: Convert to fraction form
    171,758.18/257,638.91 = 65,113.45/x
  3. Step 3: Cross multiply
    171,758.18x = 257,638.91 × 65,113.45
  4. Step 4: Simplify right side
    171,758.18x = 16,775,757,314.68
  5. Step 5: Solve for x
    x = 16,775,757,314.68/171,758.18
  6. Step 6: Final answer
    x = 97,670.79

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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.