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Finding the Fourth Proportional to 228,214.37, 342,329.36 and 78,453.38

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Solution

The fourth proportional to 228,214.37, 342,329.36 and 78,453.38 is: 117,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,214.37 : 342,329.36 = 78,453.38 : x
  2. Step 2: Convert to fraction form
    228,214.37/342,329.36 = 78,453.38/x
  3. Step 3: Cross multiply
    228,214.37x = 342,329.36 × 78,453.38
  4. Step 4: Simplify right side
    228,214.37x = 26,856,893,261.32
  5. Step 5: Solve for x
    x = 26,856,893,261.32/228,214.37
  6. Step 6: Final answer
    x = 117,682.75

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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.