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Finding the Fourth Proportional to 212,200.58, 318,321.65 and 77,301.32

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Solution

The fourth proportional to 212,200.58, 318,321.65 and 77,301.32 is: 115,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,200.58 : 318,321.65 = 77,301.32 : x
  2. Step 2: Convert to fraction form
    212,200.58/318,321.65 = 77,301.32/x
  3. Step 3: Cross multiply
    212,200.58x = 318,321.65 × 77,301.32
  4. Step 4: Simplify right side
    212,200.58x = 24,606,682,331.22
  5. Step 5: Solve for x
    x = 24,606,682,331.22/212,200.58
  6. Step 6: Final answer
    x = 115,959.54

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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.