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Finding the Fourth Proportional to 200,308, 276,425.04 and 110,884

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Solution

The fourth proportional to 200,308, 276,425.04 and 110,884 is: 153,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,308 : 276,425.04 = 110,884 : x
  2. Step 2: Convert to fraction form
    200,308/276,425.04 = 110,884/x
  3. Step 3: Cross multiply
    200,308x = 276,425.04 × 110,884
  4. Step 4: Simplify right side
    200,308x = 30,651,114,135.36
  5. Step 5: Solve for x
    x = 30,651,114,135.36/200,308
  6. Step 6: Final answer
    x = 153,019.92

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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.