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Finding the Fourth Proportional to 200,110.83, 276,155.15 and 109,466.81

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Solution

The fourth proportional to 200,110.83, 276,155.15 and 109,466.81 is: 151,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,110.83 : 276,155.15 = 109,466.81 : x
  2. Step 2: Convert to fraction form
    200,110.83/276,155.15 = 109,466.81/x
  3. Step 3: Cross multiply
    200,110.83x = 276,155.15 × 109,466.81
  4. Step 4: Simplify right side
    200,110.83x = 30,229,821,407.46
  5. Step 5: Solve for x
    x = 30,229,821,407.46/200,110.83
  6. Step 6: Final answer
    x = 151,065.39

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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.