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Finding the Fourth Proportional to 201,214.60, 301,858.35 and 101,122.90

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Solution

The fourth proportional to 201,214.60, 301,858.35 and 101,122.90 is: 151,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,214.60 : 301,858.35 = 101,122.90 : x
  2. Step 2: Convert to fraction form
    201,214.60/301,858.35 = 101,122.90/x
  3. Step 3: Cross multiply
    201,214.60x = 301,858.35 × 101,122.90
  4. Step 4: Simplify right side
    201,214.60x = 30,524,791,741.22
  5. Step 5: Solve for x
    x = 30,524,791,741.22/201,214.60
  6. Step 6: Final answer
    x = 151,702.67

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