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Finding the Fourth Proportional to 260,896.75, 360,047.84 and 146,176.38

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Solution

The fourth proportional to 260,896.75, 360,047.84 and 146,176.38 is: 201,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,896.75 : 360,047.84 = 146,176.38 : x
  2. Step 2: Convert to fraction form
    260,896.75/360,047.84 = 146,176.38/x
  3. Step 3: Cross multiply
    260,896.75x = 360,047.84 × 146,176.38
  4. Step 4: Simplify right side
    260,896.75x = 52,630,489,147.14
  5. Step 5: Solve for x
    x = 52,630,489,147.14/260,896.75
  6. Step 6: Final answer
    x = 201,729.19

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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.