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Finding the Fourth Proportional to 212,364.99, 293,232.96 and 164,535.30

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Solution

The fourth proportional to 212,364.99, 293,232.96 and 164,535.30 is: 227,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,364.99 : 293,232.96 = 164,535.30 : x
  2. Step 2: Convert to fraction form
    212,364.99/293,232.96 = 164,535.30/x
  3. Step 3: Cross multiply
    212,364.99x = 293,232.96 × 164,535.30
  4. Step 4: Simplify right side
    212,364.99x = 48,247,173,043.49
  5. Step 5: Solve for x
    x = 48,247,173,043.49/212,364.99
  6. Step 6: Final answer
    x = 227,189.86

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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.