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Finding the Fourth Proportional to 205,162.99, 283,172.16 and 120,307.39

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Solution

The fourth proportional to 205,162.99, 283,172.16 and 120,307.39 is: 166,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,162.99 : 283,172.16 = 120,307.39 : x
  2. Step 2: Convert to fraction form
    205,162.99/283,172.16 = 120,307.39/x
  3. Step 3: Cross multiply
    205,162.99x = 283,172.16 × 120,307.39
  4. Step 4: Simplify right side
    205,162.99x = 34,067,702,782.33
  5. Step 5: Solve for x
    x = 34,067,702,782.33/205,162.99
  6. Step 6: Final answer
    x = 166,051.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.