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Finding the Fourth Proportional to 98,788.20, 148,203.90 and 48,892.20

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Solution

The fourth proportional to 98,788.20, 148,203.90 and 48,892.20 is: 73,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,788.20 : 148,203.90 = 48,892.20 : x
  2. Step 2: Convert to fraction form
    98,788.20/148,203.90 = 48,892.20/x
  3. Step 3: Cross multiply
    98,788.20x = 148,203.90 × 48,892.20
  4. Step 4: Simplify right side
    98,788.20x = 7,246,014,719.58
  5. Step 5: Solve for x
    x = 7,246,014,719.58/98,788.20
  6. Step 6: Final answer
    x = 73,348.99

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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.