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Finding the Fourth Proportional to 200,184.32, 276,354.33 and 115,284.98

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Solution

The fourth proportional to 200,184.32, 276,354.33 and 115,284.98 is: 159,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,184.32 : 276,354.33 = 115,284.98 : x
  2. Step 2: Convert to fraction form
    200,184.32/276,354.33 = 115,284.98/x
  3. Step 3: Cross multiply
    200,184.32x = 276,354.33 × 115,284.98
  4. Step 4: Simplify right side
    200,184.32x = 31,859,503,406.96
  5. Step 5: Solve for x
    x = 31,859,503,406.96/200,184.32
  6. Step 6: Final answer
    x = 159,150.84

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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.