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Finding the Fourth Proportional to 216,055.98, 298,156.82 and 120,556.98

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Solution

The fourth proportional to 216,055.98, 298,156.82 and 120,556.98 is: 166,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,055.98 : 298,156.82 = 120,556.98 : x
  2. Step 2: Convert to fraction form
    216,055.98/298,156.82 = 120,556.98/x
  3. Step 3: Cross multiply
    216,055.98x = 298,156.82 × 120,556.98
  4. Step 4: Simplify right side
    216,055.98x = 35,944,885,182.82
  5. Step 5: Solve for x
    x = 35,944,885,182.82/216,055.98
  6. Step 6: Final answer
    x = 166,368.39

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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.