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Finding the Fourth Proportional to 164,142.24, 246,213.36 and 39,483.24

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Solution

The fourth proportional to 164,142.24, 246,213.36 and 39,483.24 is: 59,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,142.24 : 246,213.36 = 39,483.24 : x
  2. Step 2: Convert to fraction form
    164,142.24/246,213.36 = 39,483.24/x
  3. Step 3: Cross multiply
    164,142.24x = 246,213.36 × 39,483.24
  4. Step 4: Simplify right side
    164,142.24x = 9,721,301,184.09
  5. Step 5: Solve for x
    x = 9,721,301,184.09/164,142.24
  6. Step 6: Final answer
    x = 59,224.86

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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.