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Finding the Fourth Proportional to 212,415.40, 293,133.32 and 116,921.40

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Solution

The fourth proportional to 212,415.40, 293,133.32 and 116,921.40 is: 161,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,415.40 : 293,133.32 = 116,921.40 : x
  2. Step 2: Convert to fraction form
    212,415.40/293,133.32 = 116,921.40/x
  3. Step 3: Cross multiply
    212,415.40x = 293,133.32 × 116,921.40
  4. Step 4: Simplify right side
    212,415.40x = 34,273,558,161.05
  5. Step 5: Solve for x
    x = 34,273,558,161.05/212,415.40
  6. Step 6: Final answer
    x = 161,351.57

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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.