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Finding the Fourth Proportional to 214,290.05, 295,723.86 and 117,491.88

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Solution

The fourth proportional to 214,290.05, 295,723.86 and 117,491.88 is: 162,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,290.05 : 295,723.86 = 117,491.88 : x
  2. Step 2: Convert to fraction form
    214,290.05/295,723.86 = 117,491.88/x
  3. Step 3: Cross multiply
    214,290.05x = 295,723.86 × 117,491.88
  4. Step 4: Simplify right side
    214,290.05x = 34,745,152,272.26
  5. Step 5: Solve for x
    x = 34,745,152,272.26/214,290.05
  6. Step 6: Final answer
    x = 162,140.76

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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.