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Finding the Fourth Proportional to 216,030.12, 298,121.49 and 120,536.79

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Solution

The fourth proportional to 216,030.12, 298,121.49 and 120,536.79 is: 166,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,030.12 : 298,121.49 = 120,536.79 : x
  2. Step 2: Convert to fraction form
    216,030.12/298,121.49 = 120,536.79/x
  3. Step 3: Cross multiply
    216,030.12x = 298,121.49 × 120,536.79
  4. Step 4: Simplify right side
    216,030.12x = 35,934,607,434.62
  5. Step 5: Solve for x
    x = 35,934,607,434.62/216,030.12
  6. Step 6: Final answer
    x = 166,340.73

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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.