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Finding the Fourth Proportional to 216,270, 298,452.60 and 119,473.38

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Solution

The fourth proportional to 216,270, 298,452.60 and 119,473.38 is: 164,873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,270 : 298,452.60 = 119,473.38 : x
  2. Step 2: Convert to fraction form
    216,270/298,452.60 = 119,473.38/x
  3. Step 3: Cross multiply
    216,270x = 298,452.60 × 119,473.38
  4. Step 4: Simplify right side
    216,270x = 35,657,140,891.79
  5. Step 5: Solve for x
    x = 35,657,140,891.79/216,270
  6. Step 6: Final answer
    x = 164,873.26

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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.