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Finding the Fourth Proportional to 212,434.16, 293,165.28 and 115,644.29

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Solution

The fourth proportional to 212,434.16, 293,165.28 and 115,644.29 is: 159,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,434.16 : 293,165.28 = 115,644.29 : x
  2. Step 2: Convert to fraction form
    212,434.16/293,165.28 = 115,644.29/x
  3. Step 3: Cross multiply
    212,434.16x = 293,165.28 × 115,644.29
  4. Step 4: Simplify right side
    212,434.16x = 33,902,890,658.25
  5. Step 5: Solve for x
    x = 33,902,890,658.25/212,434.16
  6. Step 6: Final answer
    x = 159,592.46

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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.