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Finding the Fourth Proportional to 216,021.82, 298,111.18 and 120,533.90

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Solution

The fourth proportional to 216,021.82, 298,111.18 and 120,533.90 is: 166,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,021.82 : 298,111.18 = 120,533.90 : x
  2. Step 2: Convert to fraction form
    216,021.82/298,111.18 = 120,533.90/x
  3. Step 3: Cross multiply
    216,021.82x = 298,111.18 × 120,533.90
  4. Step 4: Simplify right side
    216,021.82x = 35,932,503,159.00
  5. Step 5: Solve for x
    x = 35,932,503,159.00/216,021.82
  6. Step 6: Final answer
    x = 166,337.38

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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.