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Finding the Fourth Proportional to 172,902.33, 259,291.13 and 73,070.24

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Solution

The fourth proportional to 172,902.33, 259,291.13 and 73,070.24 is: 109,578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,902.33 : 259,291.13 = 73,070.24 : x
  2. Step 2: Convert to fraction form
    172,902.33/259,291.13 = 73,070.24/x
  3. Step 3: Cross multiply
    172,902.33x = 259,291.13 × 73,070.24
  4. Step 4: Simplify right side
    172,902.33x = 18,946,463,437.16
  5. Step 5: Solve for x
    x = 18,946,463,437.16/172,902.33
  6. Step 6: Final answer
    x = 109,578.99

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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.