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Finding the Fourth Proportional to 212,984.96, 293,907.36 and 117,472.64

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Solution

The fourth proportional to 212,984.96, 293,907.36 and 117,472.64 is: 162,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,984.96 : 293,907.36 = 117,472.64 : x
  2. Step 2: Convert to fraction form
    212,984.96/293,907.36 = 117,472.64/x
  3. Step 3: Cross multiply
    212,984.96x = 293,907.36 × 117,472.64
  4. Step 4: Simplify right side
    212,984.96x = 34,526,073,494.63
  5. Step 5: Solve for x
    x = 34,526,073,494.63/212,984.96
  6. Step 6: Final answer
    x = 162,105.69

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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.