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Finding the Fourth Proportional to 214,405.68, 295,889.40 and 118,905.96

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Solution

The fourth proportional to 214,405.68, 295,889.40 and 118,905.96 is: 164,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,405.68 : 295,889.40 = 118,905.96 : x
  2. Step 2: Convert to fraction form
    214,405.68/295,889.40 = 118,905.96/x
  3. Step 3: Cross multiply
    214,405.68x = 295,889.40 × 118,905.96
  4. Step 4: Simplify right side
    214,405.68x = 35,183,013,160.82
  5. Step 5: Solve for x
    x = 35,183,013,160.82/214,405.68
  6. Step 6: Final answer
    x = 164,095.53

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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.