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Finding the Fourth Proportional to 200,717.32, 276,998.88 and 120,129.52

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Solution

The fourth proportional to 200,717.32, 276,998.88 and 120,129.52 is: 165,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,717.32 : 276,998.88 = 120,129.52 : x
  2. Step 2: Convert to fraction form
    200,717.32/276,998.88 = 120,129.52/x
  3. Step 3: Cross multiply
    200,717.32x = 276,998.88 × 120,129.52
  4. Step 4: Simplify right side
    200,717.32x = 33,275,742,494.94
  5. Step 5: Solve for x
    x = 33,275,742,494.94/200,717.32
  6. Step 6: Final answer
    x = 165,784.11

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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.