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Finding the Fourth Proportional to 212,828.49, 293,699.34 and 116,033.40

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Solution

The fourth proportional to 212,828.49, 293,699.34 and 116,033.40 is: 160,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,828.49 : 293,699.34 = 116,033.40 : x
  2. Step 2: Convert to fraction form
    212,828.49/293,699.34 = 116,033.40/x
  3. Step 3: Cross multiply
    212,828.49x = 293,699.34 × 116,033.40
  4. Step 4: Simplify right side
    212,828.49x = 34,078,932,997.96
  5. Step 5: Solve for x
    x = 34,078,932,997.96/212,828.49
  6. Step 6: Final answer
    x = 160,123.92

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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.