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Finding the Fourth Proportional to 171,664.60, 257,573.70 and 78,122.20

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Solution

The fourth proportional to 171,664.60, 257,573.70 and 78,122.20 is: 117,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,664.60 : 257,573.70 = 78,122.20 : x
  2. Step 2: Convert to fraction form
    171,664.60/257,573.70 = 78,122.20/x
  3. Step 3: Cross multiply
    171,664.60x = 257,573.70 × 78,122.20
  4. Step 4: Simplify right side
    171,664.60x = 20,122,224,106.14
  5. Step 5: Solve for x
    x = 20,122,224,106.14/171,664.60
  6. Step 6: Final answer
    x = 117,218.25

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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.