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Finding the Fourth Proportional to 172,802.24, 259,164.48 and 112,811.84

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Solution

The fourth proportional to 172,802.24, 259,164.48 and 112,811.84 is: 169,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,802.24 : 259,164.48 = 112,811.84 : x
  2. Step 2: Convert to fraction form
    172,802.24/259,164.48 = 112,811.84/x
  3. Step 3: Cross multiply
    172,802.24x = 259,164.48 × 112,811.84
  4. Step 4: Simplify right side
    172,802.24x = 29,236,821,851.44
  5. Step 5: Solve for x
    x = 29,236,821,851.44/172,802.24
  6. Step 6: Final answer
    x = 169,192.38

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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.