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Finding the Fourth Proportional to 212,463.87, 293,194.45 and 116,971.28

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Solution

The fourth proportional to 212,463.87, 293,194.45 and 116,971.28 is: 161,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,463.87 : 293,194.45 = 116,971.28 : x
  2. Step 2: Convert to fraction form
    212,463.87/293,194.45 = 116,971.28/x
  3. Step 3: Cross multiply
    212,463.87x = 293,194.45 × 116,971.28
  4. Step 4: Simplify right side
    212,463.87x = 34,295,330,105.40
  5. Step 5: Solve for x
    x = 34,295,330,105.40/212,463.87
  6. Step 6: Final answer
    x = 161,417.23

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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.