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Finding the Fourth Proportional to 98,826.96, 147,987.84 and 54,404.88

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Solution

The fourth proportional to 98,826.96, 147,987.84 and 54,404.88 is: 81,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,826.96 : 147,987.84 = 54,404.88 : x
  2. Step 2: Convert to fraction form
    98,826.96/147,987.84 = 54,404.88/x
  3. Step 3: Cross multiply
    98,826.96x = 147,987.84 × 54,404.88
  4. Step 4: Simplify right side
    98,826.96x = 8,051,260,676.66
  5. Step 5: Solve for x
    x = 8,051,260,676.66/98,826.96
  6. Step 6: Final answer
    x = 81,468.26

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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.