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Finding the Fourth Proportional to 200,328, 276,461.76 and 110,904

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Solution

The fourth proportional to 200,328, 276,461.76 and 110,904 is: 153,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,328 : 276,461.76 = 110,904 : x
  2. Step 2: Convert to fraction form
    200,328/276,461.76 = 110,904/x
  3. Step 3: Cross multiply
    200,328x = 276,461.76 × 110,904
  4. Step 4: Simplify right side
    200,328x = 30,660,715,031.04
  5. Step 5: Solve for x
    x = 30,660,715,031.04/200,328
  6. Step 6: Final answer
    x = 153,052.57

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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.