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Finding the Fourth Proportional to 175,428.96, 262,764.36 and 92,148

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Solution

The fourth proportional to 175,428.96, 262,764.36 and 92,148 is: 138,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,428.96 : 262,764.36 = 92,148 : x
  2. Step 2: Convert to fraction form
    175,428.96/262,764.36 = 92,148/x
  3. Step 3: Cross multiply
    175,428.96x = 262,764.36 × 92,148
  4. Step 4: Simplify right side
    175,428.96x = 24,213,210,245.28
  5. Step 5: Solve for x
    x = 24,213,210,245.28/175,428.96
  6. Step 6: Final answer
    x = 138,022.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.