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Finding the Fourth Proportional to 212,102.18, 318,383.81 and 85,829.35

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Solution

The fourth proportional to 212,102.18, 318,383.81 and 85,829.35 is: 128,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,102.18 : 318,383.81 = 85,829.35 : x
  2. Step 2: Convert to fraction form
    212,102.18/318,383.81 = 85,829.35/x
  3. Step 3: Cross multiply
    212,102.18x = 318,383.81 × 85,829.35
  4. Step 4: Simplify right side
    212,102.18x = 27,326,675,462.82
  5. Step 5: Solve for x
    x = 27,326,675,462.82/212,102.18
  6. Step 6: Final answer
    x = 128,837.32

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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.