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Finding the Fourth Proportional to 228,048.40, 342,072.60 and 109,731.70

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Solution

The fourth proportional to 228,048.40, 342,072.60 and 109,731.70 is: 164,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,048.40 : 342,072.60 = 109,731.70 : x
  2. Step 2: Convert to fraction form
    228,048.40/342,072.60 = 109,731.70/x
  3. Step 3: Cross multiply
    228,048.40x = 342,072.60 × 109,731.70
  4. Step 4: Simplify right side
    228,048.40x = 37,536,207,921.42
  5. Step 5: Solve for x
    x = 37,536,207,921.42/228,048.40
  6. Step 6: Final answer
    x = 164,597.55

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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.