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Finding the Fourth Proportional to 228,971.80, 343,297.70 and 135,429.40

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Solution

The fourth proportional to 228,971.80, 343,297.70 and 135,429.40 is: 203,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,971.80 : 343,297.70 = 135,429.40 : x
  2. Step 2: Convert to fraction form
    228,971.80/343,297.70 = 135,429.40/x
  3. Step 3: Cross multiply
    228,971.80x = 343,297.70 × 135,429.40
  4. Step 4: Simplify right side
    228,971.80x = 46,492,601,532.38
  5. Step 5: Solve for x
    x = 46,492,601,532.38/228,971.80
  6. Step 6: Final answer
    x = 203,049.47

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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.