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Finding the Fourth Proportional to 152,195.40, 228,293.10 and 82,211.40

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Solution

The fourth proportional to 152,195.40, 228,293.10 and 82,211.40 is: 123,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,195.40 : 228,293.10 = 82,211.40 : x
  2. Step 2: Convert to fraction form
    152,195.40/228,293.10 = 82,211.40/x
  3. Step 3: Cross multiply
    152,195.40x = 228,293.10 × 82,211.40
  4. Step 4: Simplify right side
    152,195.40x = 18,768,295,361.34
  5. Step 5: Solve for x
    x = 18,768,295,361.34/152,195.40
  6. Step 6: Final answer
    x = 123,317.10

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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.