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Finding the Fourth Proportional to 275,316.36, 413,125 and 106,843.32

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Solution

The fourth proportional to 275,316.36, 413,125 and 106,843.32 is: 160,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,316.36 : 413,125 = 106,843.32 : x
  2. Step 2: Convert to fraction form
    275,316.36/413,125 = 106,843.32/x
  3. Step 3: Cross multiply
    275,316.36x = 413,125 × 106,843.32
  4. Step 4: Simplify right side
    275,316.36x = 44,139,646,575
  5. Step 5: Solve for x
    x = 44,139,646,575/275,316.36
  6. Step 6: Final answer
    x = 160,323.37

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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.