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Finding the Fourth Proportional to 228,596, 315,389.58 and 148,085.24

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Solution

The fourth proportional to 228,596, 315,389.58 and 148,085.24 is: 204,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,596 : 315,389.58 = 148,085.24 : x
  2. Step 2: Convert to fraction form
    228,596/315,389.58 = 148,085.24/x
  3. Step 3: Cross multiply
    228,596x = 315,389.58 × 148,085.24
  4. Step 4: Simplify right side
    228,596x = 46,704,541,647.80
  5. Step 5: Solve for x
    x = 46,704,541,647.80/228,596
  6. Step 6: Final answer
    x = 204,310.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.