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Finding the Fourth Proportional to 212,501.44, 318,756 and 54,733.12

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Solution

The fourth proportional to 212,501.44, 318,756 and 54,733.12 is: 82,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,501.44 : 318,756 = 54,733.12 : x
  2. Step 2: Convert to fraction form
    212,501.44/318,756 = 54,733.12/x
  3. Step 3: Cross multiply
    212,501.44x = 318,756 × 54,733.12
  4. Step 4: Simplify right side
    212,501.44x = 17,446,510,398.72
  5. Step 5: Solve for x
    x = 17,446,510,398.72/212,501.44
  6. Step 6: Final answer
    x = 82,100.67

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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.