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Finding the Fourth Proportional to 212,652.30, 293,460.46 and 115,855.68

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Solution

The fourth proportional to 212,652.30, 293,460.46 and 115,855.68 is: 159,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,652.30 : 293,460.46 = 115,855.68 : x
  2. Step 2: Convert to fraction form
    212,652.30/293,460.46 = 115,855.68/x
  3. Step 3: Cross multiply
    212,652.30x = 293,460.46 × 115,855.68
  4. Step 4: Simplify right side
    212,652.30x = 33,999,061,146.41
  5. Step 5: Solve for x
    x = 33,999,061,146.41/212,652.30
  6. Step 6: Final answer
    x = 159,880.99

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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.