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Finding the Fourth Proportional to 107,698.34, 161,548.32 and 40,245.63

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Solution

The fourth proportional to 107,698.34, 161,548.32 and 40,245.63 is: 60,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,698.34 : 161,548.32 = 40,245.63 : x
  2. Step 2: Convert to fraction form
    107,698.34/161,548.32 = 40,245.63/x
  3. Step 3: Cross multiply
    107,698.34x = 161,548.32 × 40,245.63
  4. Step 4: Simplify right side
    107,698.34x = 6,501,613,913.84
  5. Step 5: Solve for x
    x = 6,501,613,913.84/107,698.34
  6. Step 6: Final answer
    x = 60,368.75

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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.