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Finding the Fourth Proportional to 214,262.36, 295,650.98 and 118,769

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Solution

The fourth proportional to 214,262.36, 295,650.98 and 118,769 is: 163,883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,262.36 : 295,650.98 = 118,769 : x
  2. Step 2: Convert to fraction form
    214,262.36/295,650.98 = 118,769/x
  3. Step 3: Cross multiply
    214,262.36x = 295,650.98 × 118,769
  4. Step 4: Simplify right side
    214,262.36x = 35,114,171,243.62
  5. Step 5: Solve for x
    x = 35,114,171,243.62/214,262.36
  6. Step 6: Final answer
    x = 163,883.99

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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.