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Finding the Fourth Proportional to 200,251, 276,347.19 and 110,827

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Solution

The fourth proportional to 200,251, 276,347.19 and 110,827 is: 152,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,251 : 276,347.19 = 110,827 : x
  2. Step 2: Convert to fraction form
    200,251/276,347.19 = 110,827/x
  3. Step 3: Cross multiply
    200,251x = 276,347.19 × 110,827
  4. Step 4: Simplify right side
    200,251x = 30,626,730,026.13
  5. Step 5: Solve for x
    x = 30,626,730,026.13/200,251
  6. Step 6: Final answer
    x = 152,941.71

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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.