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Finding the Fourth Proportional to 109,804.01, 164,392.22 and 102,828.89

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Solution

The fourth proportional to 109,804.01, 164,392.22 and 102,828.89 is: 153,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,804.01 : 164,392.22 = 102,828.89 : x
  2. Step 2: Convert to fraction form
    109,804.01/164,392.22 = 102,828.89/x
  3. Step 3: Cross multiply
    109,804.01x = 164,392.22 × 102,828.89
  4. Step 4: Simplify right side
    109,804.01x = 16,904,270,175.29
  5. Step 5: Solve for x
    x = 16,904,270,175.29/109,804.01
  6. Step 6: Final answer
    x = 153,949.49

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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.