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Finding the Fourth Proportional to 212,451.84, 293,186.12 and 116,964.99

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Solution

The fourth proportional to 212,451.84, 293,186.12 and 116,964.99 is: 161,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,451.84 : 293,186.12 = 116,964.99 : x
  2. Step 2: Convert to fraction form
    212,451.84/293,186.12 = 116,964.99/x
  3. Step 3: Cross multiply
    212,451.84x = 293,186.12 × 116,964.99
  4. Step 4: Simplify right side
    212,451.84x = 34,292,511,009.11
  5. Step 5: Solve for x
    x = 34,292,511,009.11/212,451.84
  6. Step 6: Final answer
    x = 161,413.10

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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.