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Finding the Fourth Proportional to 171,984.60, 257,588.10 and 102,000.60

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Solution

The fourth proportional to 171,984.60, 257,588.10 and 102,000.60 is: 152,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,984.60 : 257,588.10 = 102,000.60 : x
  2. Step 2: Convert to fraction form
    171,984.60/257,588.10 = 102,000.60/x
  3. Step 3: Cross multiply
    171,984.60x = 257,588.10 × 102,000.60
  4. Step 4: Simplify right side
    171,984.60x = 26,274,140,752.86
  5. Step 5: Solve for x
    x = 26,274,140,752.86/171,984.60
  6. Step 6: Final answer
    x = 152,770.31

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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.