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Finding the Fourth Proportional to 201,256.60, 301,921.35 and 101,164.90

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Solution

The fourth proportional to 201,256.60, 301,921.35 and 101,164.90 is: 151,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,256.60 : 301,921.35 = 101,164.90 : x
  2. Step 2: Convert to fraction form
    201,256.60/301,921.35 = 101,164.90/x
  3. Step 3: Cross multiply
    201,256.60x = 301,921.35 × 101,164.90
  4. Step 4: Simplify right side
    201,256.60x = 30,543,843,180.62
  5. Step 5: Solve for x
    x = 30,543,843,180.62/201,256.60
  6. Step 6: Final answer
    x = 151,765.67

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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.