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Finding the Fourth Proportional to 212,400.54, 293,110.47 and 116,905.17

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Solution

The fourth proportional to 212,400.54, 293,110.47 and 116,905.17 is: 161,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,400.54 : 293,110.47 = 116,905.17 : x
  2. Step 2: Convert to fraction form
    212,400.54/293,110.47 = 116,905.17/x
  3. Step 3: Cross multiply
    212,400.54x = 293,110.47 × 116,905.17
  4. Step 4: Simplify right side
    212,400.54x = 34,266,129,324.13
  5. Step 5: Solve for x
    x = 34,266,129,324.13/212,400.54
  6. Step 6: Final answer
    x = 161,327.88

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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.