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Finding the Fourth Proportional to 216,097.71, 298,202.70 and 120,610.56

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Solution

The fourth proportional to 216,097.71, 298,202.70 and 120,610.56 is: 166,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,097.71 : 298,202.70 = 120,610.56 : x
  2. Step 2: Convert to fraction form
    216,097.71/298,202.70 = 120,610.56/x
  3. Step 3: Cross multiply
    216,097.71x = 298,202.70 × 120,610.56
  4. Step 4: Simplify right side
    216,097.71x = 35,966,394,640.51
  5. Step 5: Solve for x
    x = 35,966,394,640.51/216,097.71
  6. Step 6: Final answer
    x = 166,435.80

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1.5x scale

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.