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Finding the Fourth Proportional to 205,166.52, 308,291.00 and 110,466.72

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Solution

The fourth proportional to 205,166.52, 308,291.00 and 110,466.72 is: 165,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,166.52 : 308,291.00 = 110,466.72 : x
  2. Step 2: Convert to fraction form
    205,166.52/308,291.00 = 110,466.72/x
  3. Step 3: Cross multiply
    205,166.52x = 308,291.00 × 110,466.72
  4. Step 4: Simplify right side
    205,166.52x = 34,055,895,023.19
  5. Step 5: Solve for x
    x = 34,055,895,023.19/205,166.52
  6. Step 6: Final answer
    x = 165,991.48

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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.