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Finding the Fourth Proportional to 200,390.22, 276,538.86 and 108,510.50

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Solution

The fourth proportional to 200,390.22, 276,538.86 and 108,510.50 is: 149,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,390.22 : 276,538.86 = 108,510.50 : x
  2. Step 2: Convert to fraction form
    200,390.22/276,538.86 = 108,510.50/x
  3. Step 3: Cross multiply
    200,390.22x = 276,538.86 × 108,510.50
  4. Step 4: Simplify right side
    200,390.22x = 30,007,370,659.38
  5. Step 5: Solve for x
    x = 30,007,370,659.38/200,390.22
  6. Step 6: Final answer
    x = 149,744.69

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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.