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Finding the Fourth Proportional to 200,858.67, 276,652.87 and 149,707.47

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Solution

The fourth proportional to 200,858.67, 276,652.87 and 149,707.47 is: 206,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,858.67 : 276,652.87 = 149,707.47 : x
  2. Step 2: Convert to fraction form
    200,858.67/276,652.87 = 149,707.47/x
  3. Step 3: Cross multiply
    200,858.67x = 276,652.87 × 149,707.47
  4. Step 4: Simplify right side
    200,858.67x = 41,417,001,899.12
  5. Step 5: Solve for x
    x = 41,417,001,899.12/200,858.67
  6. Step 6: Final answer
    x = 206,199.72

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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.