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Finding the Fourth Proportional to 230,941, 346,421.58 and 73,181.08

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Solution

The fourth proportional to 230,941, 346,421.58 and 73,181.08 is: 109,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,941 : 346,421.58 = 73,181.08 : x
  2. Step 2: Convert to fraction form
    230,941/346,421.58 = 73,181.08/x
  3. Step 3: Cross multiply
    230,941x = 346,421.58 × 73,181.08
  4. Step 4: Simplify right side
    230,941x = 25,351,505,359.71
  5. Step 5: Solve for x
    x = 25,351,505,359.71/230,941
  6. Step 6: Final answer
    x = 109,774.81

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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.