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Finding the Fourth Proportional to 285,223.62, 427,900.23 and 152,033.70

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Solution

The fourth proportional to 285,223.62, 427,900.23 and 152,033.70 is: 228,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,223.62 : 427,900.23 = 152,033.70 : x
  2. Step 2: Convert to fraction form
    285,223.62/427,900.23 = 152,033.70/x
  3. Step 3: Cross multiply
    285,223.62x = 427,900.23 × 152,033.70
  4. Step 4: Simplify right side
    285,223.62x = 65,055,255,197.75
  5. Step 5: Solve for x
    x = 65,055,255,197.75/285,223.62
  6. Step 6: Final answer
    x = 228,085.09

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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.