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Finding the Fourth Proportional to 212,465.37, 293,196.51 and 116,972.78

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Solution

The fourth proportional to 212,465.37, 293,196.51 and 116,972.78 is: 161,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,465.37 : 293,196.51 = 116,972.78 : x
  2. Step 2: Convert to fraction form
    212,465.37/293,196.51 = 116,972.78/x
  3. Step 3: Cross multiply
    212,465.37x = 293,196.51 × 116,972.78
  4. Step 4: Simplify right side
    212,465.37x = 34,296,010,861.00
  5. Step 5: Solve for x
    x = 34,296,010,861.00/212,465.37
  6. Step 6: Final answer
    x = 161,419.30

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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.