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Finding the Fourth Proportional to 261,078.56, 360,302.72 and 147,923.36

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Solution

The fourth proportional to 261,078.56, 360,302.72 and 147,923.36 is: 204,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,078.56 : 360,302.72 = 147,923.36 : x
  2. Step 2: Convert to fraction form
    261,078.56/360,302.72 = 147,923.36/x
  3. Step 3: Cross multiply
    261,078.56x = 360,302.72 × 147,923.36
  4. Step 4: Simplify right side
    261,078.56x = 53,297,188,959.54
  5. Step 5: Solve for x
    x = 53,297,188,959.54/261,078.56
  6. Step 6: Final answer
    x = 204,142.34

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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.