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Finding the Fourth Proportional to 228,093.40, 342,140.10 and 204,765.40

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Solution

The fourth proportional to 228,093.40, 342,140.10 and 204,765.40 is: 307,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,093.40 : 342,140.10 = 204,765.40 : x
  2. Step 2: Convert to fraction form
    228,093.40/342,140.10 = 204,765.40/x
  3. Step 3: Cross multiply
    228,093.40x = 342,140.10 × 204,765.40
  4. Step 4: Simplify right side
    228,093.40x = 70,058,454,432.54
  5. Step 5: Solve for x
    x = 70,058,454,432.54/228,093.40
  6. Step 6: Final answer
    x = 307,148.10

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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.