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Finding the Fourth Proportional to 153,800.27, 230,559.47 and 53,906.01

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Solution

The fourth proportional to 153,800.27, 230,559.47 and 53,906.01 is: 80,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,800.27 : 230,559.47 = 53,906.01 : x
  2. Step 2: Convert to fraction form
    153,800.27/230,559.47 = 53,906.01/x
  3. Step 3: Cross multiply
    153,800.27x = 230,559.47 × 53,906.01
  4. Step 4: Simplify right side
    153,800.27x = 12,428,540,825.88
  5. Step 5: Solve for x
    x = 12,428,540,825.88/153,800.27
  6. Step 6: Final answer
    x = 80,809.62

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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.