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Finding the Fourth Proportional to 171,680.60, 257,597.70 and 78,138.20

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Solution

The fourth proportional to 171,680.60, 257,597.70 and 78,138.20 is: 117,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,680.60 : 257,597.70 = 78,138.20 : x
  2. Step 2: Convert to fraction form
    171,680.60/257,597.70 = 78,138.20/x
  3. Step 3: Cross multiply
    171,680.60x = 257,597.70 × 78,138.20
  4. Step 4: Simplify right side
    171,680.60x = 20,128,220,602.14
  5. Step 5: Solve for x
    x = 20,128,220,602.14/171,680.60
  6. Step 6: Final answer
    x = 117,242.25

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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.