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Finding the Fourth Proportional to 212,546.50, 293,314.17 and 117,052.99

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Solution

The fourth proportional to 212,546.50, 293,314.17 and 117,052.99 is: 161,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,546.50 : 293,314.17 = 117,052.99 : x
  2. Step 2: Convert to fraction form
    212,546.50/293,314.17 = 117,052.99/x
  3. Step 3: Cross multiply
    212,546.50x = 293,314.17 × 117,052.99
  4. Step 4: Simplify right side
    212,546.50x = 34,333,300,607.87
  5. Step 5: Solve for x
    x = 34,333,300,607.87/212,546.50
  6. Step 6: Final answer
    x = 161,533.13

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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.