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Finding the Fourth Proportional to 171,468.19, 257,224.16 and 53,146.63

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Solution

The fourth proportional to 171,468.19, 257,224.16 and 53,146.63 is: 79,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,468.19 : 257,224.16 = 53,146.63 : x
  2. Step 2: Convert to fraction form
    171,468.19/257,224.16 = 53,146.63/x
  3. Step 3: Cross multiply
    171,468.19x = 257,224.16 × 53,146.63
  4. Step 4: Simplify right side
    171,468.19x = 13,670,597,258.58
  5. Step 5: Solve for x
    x = 13,670,597,258.58/171,468.19
  6. Step 6: Final answer
    x = 79,726.73

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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.