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Finding the Fourth Proportional to 212,400.98, 293,113.43 and 116,906.99

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Solution

The fourth proportional to 212,400.98, 293,113.43 and 116,906.99 is: 161,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,400.98 : 293,113.43 = 116,906.99 : x
  2. Step 2: Convert to fraction form
    212,400.98/293,113.43 = 116,906.99/x
  3. Step 3: Cross multiply
    212,400.98x = 293,113.43 × 116,906.99
  4. Step 4: Simplify right side
    212,400.98x = 34,267,008,829.88
  5. Step 5: Solve for x
    x = 34,267,008,829.88/212,400.98
  6. Step 6: Final answer
    x = 161,331.69

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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.