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Finding the Fourth Proportional to 201,512.10, 302,462.55 and 101,784.90

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Solution

The fourth proportional to 201,512.10, 302,462.55 and 101,784.90 is: 152,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,512.10 : 302,462.55 = 101,784.90 : x
  2. Step 2: Convert to fraction form
    201,512.10/302,462.55 = 101,784.90/x
  3. Step 3: Cross multiply
    201,512.10x = 302,462.55 × 101,784.90
  4. Step 4: Simplify right side
    201,512.10x = 30,786,120,405.50
  5. Step 5: Solve for x
    x = 30,786,120,405.50/201,512.10
  6. Step 6: Final answer
    x = 152,775.54

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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.