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Finding the Fourth Proportional to 98,832.96, 147,996.84 and 54,410.88

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Solution

The fourth proportional to 98,832.96, 147,996.84 and 54,410.88 is: 81,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,832.96 : 147,996.84 = 54,410.88 : x
  2. Step 2: Convert to fraction form
    98,832.96/147,996.84 = 54,410.88/x
  3. Step 3: Cross multiply
    98,832.96x = 147,996.84 × 54,410.88
  4. Step 4: Simplify right side
    98,832.96x = 8,052,638,301.62
  5. Step 5: Solve for x
    x = 8,052,638,301.62/98,832.96
  6. Step 6: Final answer
    x = 81,477.26

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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.