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Finding the Fourth Proportional to 228,096.10, 342,144.15 and 61,884.10

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Solution

The fourth proportional to 228,096.10, 342,144.15 and 61,884.10 is: 92,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,096.10 : 342,144.15 = 61,884.10 : x
  2. Step 2: Convert to fraction form
    228,096.10/342,144.15 = 61,884.10/x
  3. Step 3: Cross multiply
    228,096.10x = 342,144.15 × 61,884.10
  4. Step 4: Simplify right side
    228,096.10x = 21,173,282,793.02
  5. Step 5: Solve for x
    x = 21,173,282,793.02/228,096.10
  6. Step 6: Final answer
    x = 92,826.15

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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.