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Finding the Fourth Proportional to 200,686.76, 276,950.85 and 110,051

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Solution

The fourth proportional to 200,686.76, 276,950.85 and 110,051 is: 151,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,686.76 : 276,950.85 = 110,051 : x
  2. Step 2: Convert to fraction form
    200,686.76/276,950.85 = 110,051/x
  3. Step 3: Cross multiply
    200,686.76x = 276,950.85 × 110,051
  4. Step 4: Simplify right side
    200,686.76x = 30,478,717,993.35
  5. Step 5: Solve for x
    x = 30,478,717,993.35/200,686.76
  6. Step 6: Final answer
    x = 151,872.09

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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.