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Finding the Fourth Proportional to 200,259.34, 276,357.69 and 109,614.50

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Solution

The fourth proportional to 200,259.34, 276,357.69 and 109,614.50 is: 151,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,259.34 : 276,357.69 = 109,614.50 : x
  2. Step 2: Convert to fraction form
    200,259.34/276,357.69 = 109,614.50/x
  3. Step 3: Cross multiply
    200,259.34x = 276,357.69 × 109,614.50
  4. Step 4: Simplify right side
    200,259.34x = 30,292,809,665.06
  5. Step 5: Solve for x
    x = 30,292,809,665.06/200,259.34
  6. Step 6: Final answer
    x = 151,267.90

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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.