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Finding the Fourth Proportional to 201,524.10, 302,480.55 and 101,796.90

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Solution

The fourth proportional to 201,524.10, 302,480.55 and 101,796.90 is: 152,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,524.10 : 302,480.55 = 101,796.90 : x
  2. Step 2: Convert to fraction form
    201,524.10/302,480.55 = 101,796.90/x
  3. Step 3: Cross multiply
    201,524.10x = 302,480.55 × 101,796.90
  4. Step 4: Simplify right side
    201,524.10x = 30,791,582,300.30
  5. Step 5: Solve for x
    x = 30,791,582,300.30/201,524.10
  6. Step 6: Final answer
    x = 152,793.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.