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Finding the Fourth Proportional to 228,474.16, 342,793.28 and 102,103.84

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Solution

The fourth proportional to 228,474.16, 342,793.28 and 102,103.84 is: 153,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,474.16 : 342,793.28 = 102,103.84 : x
  2. Step 2: Convert to fraction form
    228,474.16/342,793.28 = 102,103.84/x
  3. Step 3: Cross multiply
    228,474.16x = 342,793.28 × 102,103.84
  4. Step 4: Simplify right side
    228,474.16x = 35,000,510,214.20
  5. Step 5: Solve for x
    x = 35,000,510,214.20/228,474.16
  6. Step 6: Final answer
    x = 153,192.42

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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.