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Finding the Fourth Proportional to 260,997.56, 360,164.58 and 147,821.12

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Solution

The fourth proportional to 260,997.56, 360,164.58 and 147,821.12 is: 203,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,997.56 : 360,164.58 = 147,821.12 : x
  2. Step 2: Convert to fraction form
    260,997.56/360,164.58 = 147,821.12/x
  3. Step 3: Cross multiply
    260,997.56x = 360,164.58 × 147,821.12
  4. Step 4: Simplify right side
    260,997.56x = 53,239,931,599.93
  5. Step 5: Solve for x
    x = 53,239,931,599.93/260,997.56
  6. Step 6: Final answer
    x = 203,986.32

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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.