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Finding the Fourth Proportional to 212,759.78, 293,606.96 and 117,266.58

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Solution

The fourth proportional to 212,759.78, 293,606.96 and 117,266.58 is: 161,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,759.78 : 293,606.96 = 117,266.58 : x
  2. Step 2: Convert to fraction form
    212,759.78/293,606.96 = 117,266.58/x
  3. Step 3: Cross multiply
    212,759.78x = 293,606.96 × 117,266.58
  4. Step 4: Simplify right side
    212,759.78x = 34,430,284,063.40
  5. Step 5: Solve for x
    x = 34,430,284,063.40/212,759.78
  6. Step 6: Final answer
    x = 161,827.03

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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.