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Finding the Fourth Proportional to 172,007.64, 257,343.84 and 150,788.04

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Solution

The fourth proportional to 172,007.64, 257,343.84 and 150,788.04 is: 225,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,007.64 : 257,343.84 = 150,788.04 : x
  2. Step 2: Convert to fraction form
    172,007.64/257,343.84 = 150,788.04/x
  3. Step 3: Cross multiply
    172,007.64x = 257,343.84 × 150,788.04
  4. Step 4: Simplify right side
    172,007.64x = 38,804,373,239.67
  5. Step 5: Solve for x
    x = 38,804,373,239.67/172,007.64
  6. Step 6: Final answer
    x = 225,596.80

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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.