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Finding the Fourth Proportional to 149,794.62, 224,570.10 and 102,289.92

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Solution

The fourth proportional to 149,794.62, 224,570.10 and 102,289.92 is: 153,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,794.62 : 224,570.10 = 102,289.92 : x
  2. Step 2: Convert to fraction form
    149,794.62/224,570.10 = 102,289.92/x
  3. Step 3: Cross multiply
    149,794.62x = 224,570.10 × 102,289.92
  4. Step 4: Simplify right side
    149,794.62x = 22,971,257,563.39
  5. Step 5: Solve for x
    x = 22,971,257,563.39/149,794.62
  6. Step 6: Final answer
    x = 153,351.69

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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.