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Finding the Fourth Proportional to 212,476.57, 293,206.53 and 116,964.81

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Solution

The fourth proportional to 212,476.57, 293,206.53 and 116,964.81 is: 161,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,476.57 : 293,206.53 = 116,964.81 : x
  2. Step 2: Convert to fraction form
    212,476.57/293,206.53 = 116,964.81/x
  3. Step 3: Cross multiply
    212,476.57x = 293,206.53 × 116,964.81
  4. Step 4: Simplify right side
    212,476.57x = 34,294,846,510.83
  5. Step 5: Solve for x
    x = 34,294,846,510.83/212,476.57
  6. Step 6: Final answer
    x = 161,405.31

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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.