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Finding the Fourth Proportional to 172,051.20, 257,584.73 and 172,051.20

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Solution

The fourth proportional to 172,051.20, 257,584.73 and 172,051.20 is: 257,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,051.20 : 257,584.73 = 172,051.20 : x
  2. Step 2: Convert to fraction form
    172,051.20/257,584.73 = 172,051.20/x
  3. Step 3: Cross multiply
    172,051.20x = 257,584.73 × 172,051.20
  4. Step 4: Simplify right side
    172,051.20x = 44,317,761,037.92
  5. Step 5: Solve for x
    x = 44,317,761,037.92/172,051.20
  6. Step 6: Final answer
    x = 257,584.73

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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.