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Finding the Fourth Proportional to 214,187.36, 295,576.20 and 117,392

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Solution

The fourth proportional to 214,187.36, 295,576.20 and 117,392 is: 161,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,187.36 : 295,576.20 = 117,392 : x
  2. Step 2: Convert to fraction form
    214,187.36/295,576.20 = 117,392/x
  3. Step 3: Cross multiply
    214,187.36x = 295,576.20 × 117,392
  4. Step 4: Simplify right side
    214,187.36x = 34,698,281,270.40
  5. Step 5: Solve for x
    x = 34,698,281,270.40/214,187.36
  6. Step 6: Final answer
    x = 161,999.67

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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.