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Finding the Fourth Proportional to 214,384.80, 295,869.21 and 118,922.25

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Solution

The fourth proportional to 214,384.80, 295,869.21 and 118,922.25 is: 164,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,384.80 : 295,869.21 = 118,922.25 : x
  2. Step 2: Convert to fraction form
    214,384.80/295,869.21 = 118,922.25/x
  3. Step 3: Cross multiply
    214,384.80x = 295,869.21 × 118,922.25
  4. Step 4: Simplify right side
    214,384.80x = 35,185,432,158.92
  5. Step 5: Solve for x
    x = 35,185,432,158.92/214,384.80
  6. Step 6: Final answer
    x = 164,122.79

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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.