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Finding the Fourth Proportional to 254,741.76, 351,173.12 and 178,022.66

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Solution

The fourth proportional to 254,741.76, 351,173.12 and 178,022.66 is: 245,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,741.76 : 351,173.12 = 178,022.66 : x
  2. Step 2: Convert to fraction form
    254,741.76/351,173.12 = 178,022.66/x
  3. Step 3: Cross multiply
    254,741.76x = 351,173.12 × 178,022.66
  4. Step 4: Simplify right side
    254,741.76x = 62,516,770,296.92
  5. Step 5: Solve for x
    x = 62,516,770,296.92/254,741.76
  6. Step 6: Final answer
    x = 245,412.34

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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.