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Finding the Fourth Proportional to 148,853.60, 223,215.60 and 48,975.20

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Solution

The fourth proportional to 148,853.60, 223,215.60 and 48,975.20 is: 73,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,853.60 : 223,215.60 = 48,975.20 : x
  2. Step 2: Convert to fraction form
    148,853.60/223,215.60 = 48,975.20/x
  3. Step 3: Cross multiply
    148,853.60x = 223,215.60 × 48,975.20
  4. Step 4: Simplify right side
    148,853.60x = 10,932,028,653.12
  5. Step 5: Solve for x
    x = 10,932,028,653.12/148,853.60
  6. Step 6: Final answer
    x = 73,441.48

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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.