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Finding the Fourth Proportional to 215,306.66, 322,992.80 and 110,090.10

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Solution

The fourth proportional to 215,306.66, 322,992.80 and 110,090.10 is: 165,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,306.66 : 322,992.80 = 110,090.10 : x
  2. Step 2: Convert to fraction form
    215,306.66/322,992.80 = 110,090.10/x
  3. Step 3: Cross multiply
    215,306.66x = 322,992.80 × 110,090.10
  4. Step 4: Simplify right side
    215,306.66x = 35,558,309,651.28
  5. Step 5: Solve for x
    x = 35,558,309,651.28/215,306.66
  6. Step 6: Final answer
    x = 165,151.93

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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.