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Finding the Fourth Proportional to 200,239.31, 276,319 and 109,595.09

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Solution

The fourth proportional to 200,239.31, 276,319 and 109,595.09 is: 151,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,239.31 : 276,319 = 109,595.09 : x
  2. Step 2: Convert to fraction form
    200,239.31/276,319 = 109,595.09/x
  3. Step 3: Cross multiply
    200,239.31x = 276,319 × 109,595.09
  4. Step 4: Simplify right side
    200,239.31x = 30,283,205,673.71
  5. Step 5: Solve for x
    x = 30,283,205,673.71/200,239.31
  6. Step 6: Final answer
    x = 151,235.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.