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Finding the Fourth Proportional to 152,469.80, 228,683.10 and 47,299.40

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Solution

The fourth proportional to 152,469.80, 228,683.10 and 47,299.40 is: 70,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,469.80 : 228,683.10 = 47,299.40 : x
  2. Step 2: Convert to fraction form
    152,469.80/228,683.10 = 47,299.40/x
  3. Step 3: Cross multiply
    152,469.80x = 228,683.10 × 47,299.40
  4. Step 4: Simplify right side
    152,469.80x = 10,816,573,420.14
  5. Step 5: Solve for x
    x = 10,816,573,420.14/152,469.80
  6. Step 6: Final answer
    x = 70,942.40

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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.