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Finding the Fourth Proportional to 171,765.41, 257,649.77 and 65,120.69

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Solution

The fourth proportional to 171,765.41, 257,649.77 and 65,120.69 is: 97,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,765.41 : 257,649.77 = 65,120.69 : x
  2. Step 2: Convert to fraction form
    171,765.41/257,649.77 = 65,120.69/x
  3. Step 3: Cross multiply
    171,765.41x = 257,649.77 × 65,120.69
  4. Step 4: Simplify right side
    171,765.41x = 16,778,329,675.29
  5. Step 5: Solve for x
    x = 16,778,329,675.29/171,765.41
  6. Step 6: Final answer
    x = 97,681.66

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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.