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Finding the Fourth Proportional to 212,326.38, 293,008.39 and 120,463.07

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Solution

The fourth proportional to 212,326.38, 293,008.39 and 120,463.07 is: 166,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,326.38 : 293,008.39 = 120,463.07 : x
  2. Step 2: Convert to fraction form
    212,326.38/293,008.39 = 120,463.07/x
  3. Step 3: Cross multiply
    212,326.38x = 293,008.39 × 120,463.07
  4. Step 4: Simplify right side
    212,326.38x = 35,296,688,428.96
  5. Step 5: Solve for x
    x = 35,296,688,428.96/212,326.38
  6. Step 6: Final answer
    x = 166,237.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.