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Finding the Fourth Proportional to 262,258.52, 361,916.19 and 147,537.23

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Solution

The fourth proportional to 262,258.52, 361,916.19 and 147,537.23 is: 203,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,258.52 : 361,916.19 = 147,537.23 : x
  2. Step 2: Convert to fraction form
    262,258.52/361,916.19 = 147,537.23/x
  3. Step 3: Cross multiply
    262,258.52x = 361,916.19 × 147,537.23
  4. Step 4: Simplify right side
    262,258.52x = 53,396,113,069.54
  5. Step 5: Solve for x
    x = 53,396,113,069.54/262,258.52
  6. Step 6: Final answer
    x = 203,601.06

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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.