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Finding the Fourth Proportional to 228,954.80, 343,432.20 and 104,538.80

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Solution

The fourth proportional to 228,954.80, 343,432.20 and 104,538.80 is: 156,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,954.80 : 343,432.20 = 104,538.80 : x
  2. Step 2: Convert to fraction form
    228,954.80/343,432.20 = 104,538.80/x
  3. Step 3: Cross multiply
    228,954.80x = 343,432.20 × 104,538.80
  4. Step 4: Simplify right side
    228,954.80x = 35,901,990,069.36
  5. Step 5: Solve for x
    x = 35,901,990,069.36/228,954.80
  6. Step 6: Final answer
    x = 156,808.20

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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.