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Finding the Fourth Proportional to 200,971.92, 277,344.80 and 110,336.40

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Solution

The fourth proportional to 200,971.92, 277,344.80 and 110,336.40 is: 152,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,971.92 : 277,344.80 = 110,336.40 : x
  2. Step 2: Convert to fraction form
    200,971.92/277,344.80 = 110,336.40/x
  3. Step 3: Cross multiply
    200,971.92x = 277,344.80 × 110,336.40
  4. Step 4: Simplify right side
    200,971.92x = 30,601,226,790.72
  5. Step 5: Solve for x
    x = 30,601,226,790.72/200,971.92
  6. Step 6: Final answer
    x = 152,266.18

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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.