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Finding the Fourth Proportional to 119,147.56, 178,653.02 and 48,969

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Solution

The fourth proportional to 119,147.56, 178,653.02 and 48,969 is: 73,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,147.56 : 178,653.02 = 48,969 : x
  2. Step 2: Convert to fraction form
    119,147.56/178,653.02 = 48,969/x
  3. Step 3: Cross multiply
    119,147.56x = 178,653.02 × 48,969
  4. Step 4: Simplify right side
    119,147.56x = 8,748,459,736.38
  5. Step 5: Solve for x
    x = 8,748,459,736.38/119,147.56
  6. Step 6: Final answer
    x = 73,425.42

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Why These Related Problems?

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