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Finding the Fourth Proportional to 214,455.30, 295,924.44 and 118,938.06

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Solution

The fourth proportional to 214,455.30, 295,924.44 and 118,938.06 is: 164,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,455.30 : 295,924.44 = 118,938.06 : x
  2. Step 2: Convert to fraction form
    214,455.30/295,924.44 = 118,938.06/x
  3. Step 3: Cross multiply
    214,455.30x = 295,924.44 × 118,938.06
  4. Step 4: Simplify right side
    214,455.30x = 35,196,678,800.19
  5. Step 5: Solve for x
    x = 35,196,678,800.19/214,455.30
  6. Step 6: Final answer
    x = 164,121.28

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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.