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Finding the Fourth Proportional to 214,346.32, 295,742.12 and 128,268.44

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Solution

The fourth proportional to 214,346.32, 295,742.12 and 128,268.44 is: 176,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,346.32 : 295,742.12 = 128,268.44 : x
  2. Step 2: Convert to fraction form
    214,346.32/295,742.12 = 128,268.44/x
  3. Step 3: Cross multiply
    214,346.32x = 295,742.12 × 128,268.44
  4. Step 4: Simplify right side
    214,346.32x = 37,934,380,374.69
  5. Step 5: Solve for x
    x = 37,934,380,374.69/214,346.32
  6. Step 6: Final answer
    x = 176,977.05

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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.