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Finding the Fourth Proportional to 214,451.56, 295,977.06 and 129,580.84

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Solution

The fourth proportional to 214,451.56, 295,977.06 and 129,580.84 is: 178,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,451.56 : 295,977.06 = 129,580.84 : x
  2. Step 2: Convert to fraction form
    214,451.56/295,977.06 = 129,580.84/x
  3. Step 3: Cross multiply
    214,451.56x = 295,977.06 × 129,580.84
  4. Step 4: Simplify right side
    214,451.56x = 38,352,956,055.53
  5. Step 5: Solve for x
    x = 38,352,956,055.53/214,451.56
  6. Step 6: Final answer
    x = 178,842.05

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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.