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Finding the Fourth Proportional to 212,234.49, 318,274.70 and 116,243.01

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Solution

The fourth proportional to 212,234.49, 318,274.70 and 116,243.01 is: 174,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,234.49 : 318,274.70 = 116,243.01 : x
  2. Step 2: Convert to fraction form
    212,234.49/318,274.70 = 116,243.01/x
  3. Step 3: Cross multiply
    212,234.49x = 318,274.70 × 116,243.01
  4. Step 4: Simplify right side
    212,234.49x = 36,997,208,553.63
  5. Step 5: Solve for x
    x = 36,997,208,553.63/212,234.49
  6. Step 6: Final answer
    x = 174,322.32

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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.