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Finding the Fourth Proportional to 228,731.40, 343,097.10 and 154,081.80

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Solution

The fourth proportional to 228,731.40, 343,097.10 and 154,081.80 is: 231,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,731.40 : 343,097.10 = 154,081.80 : x
  2. Step 2: Convert to fraction form
    228,731.40/343,097.10 = 154,081.80/x
  3. Step 3: Cross multiply
    228,731.40x = 343,097.10 × 154,081.80
  4. Step 4: Simplify right side
    228,731.40x = 52,865,018,742.78
  5. Step 5: Solve for x
    x = 52,865,018,742.78/228,731.40
  6. Step 6: Final answer
    x = 231,122.70

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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.