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Finding the Fourth Proportional to 212,215.32, 292,859.46 and 116,722.80

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Solution

The fourth proportional to 212,215.32, 292,859.46 and 116,722.80 is: 161,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,215.32 : 292,859.46 = 116,722.80 : x
  2. Step 2: Convert to fraction form
    212,215.32/292,859.46 = 116,722.80/x
  3. Step 3: Cross multiply
    212,215.32x = 292,859.46 × 116,722.80
  4. Step 4: Simplify right side
    212,215.32x = 34,183,376,177.69
  5. Step 5: Solve for x
    x = 34,183,376,177.69/212,215.32
  6. Step 6: Final answer
    x = 161,078.74

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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.