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Finding the Fourth Proportional to 98,902.96, 148,378.72 and 28,782.88

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Solution

The fourth proportional to 98,902.96, 148,378.72 and 28,782.88 is: 43,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,902.96 : 148,378.72 = 28,782.88 : x
  2. Step 2: Convert to fraction form
    98,902.96/148,378.72 = 28,782.88/x
  3. Step 3: Cross multiply
    98,902.96x = 148,378.72 × 28,782.88
  4. Step 4: Simplify right side
    98,902.96x = 4,270,766,892.31
  5. Step 5: Solve for x
    x = 4,270,766,892.31/98,902.96
  6. Step 6: Final answer
    x = 43,181.39

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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.