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Finding the Fourth Proportional to 171,810.80, 257,910.60 and 101,729.60

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Solution

The fourth proportional to 171,810.80, 257,910.60 and 101,729.60 is: 152,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,810.80 : 257,910.60 = 101,729.60 : x
  2. Step 2: Convert to fraction form
    171,810.80/257,910.60 = 101,729.60/x
  3. Step 3: Cross multiply
    171,810.80x = 257,910.60 × 101,729.60
  4. Step 4: Simplify right side
    171,810.80x = 26,237,142,173.76
  5. Step 5: Solve for x
    x = 26,237,142,173.76/171,810.80
  6. Step 6: Final answer
    x = 152,709.50

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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.