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Finding the Fourth Proportional to 211,093.24, 291,325.32 and 120,428.32

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Solution

The fourth proportional to 211,093.24, 291,325.32 and 120,428.32 is: 166,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,093.24 : 291,325.32 = 120,428.32 : x
  2. Step 2: Convert to fraction form
    211,093.24/291,325.32 = 120,428.32/x
  3. Step 3: Cross multiply
    211,093.24x = 291,325.32 × 120,428.32
  4. Step 4: Simplify right side
    211,093.24x = 35,083,818,861.06
  5. Step 5: Solve for x
    x = 35,083,818,861.06/211,093.24
  6. Step 6: Final answer
    x = 166,200.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.