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Finding the Fourth Proportional to 212,852.67, 293,749.92 and 117,359.22

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Solution

The fourth proportional to 212,852.67, 293,749.92 and 117,359.22 is: 161,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,852.67 : 293,749.92 = 117,359.22 : x
  2. Step 2: Convert to fraction form
    212,852.67/293,749.92 = 117,359.22/x
  3. Step 3: Cross multiply
    212,852.67x = 293,749.92 × 117,359.22
  4. Step 4: Simplify right side
    212,852.67x = 34,474,261,486.26
  5. Step 5: Solve for x
    x = 34,474,261,486.26/212,852.67
  6. Step 6: Final answer
    x = 161,963.02

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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.