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Finding the Fourth Proportional to 192,509.98, 288,742.88 and 50,368.97

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Solution

The fourth proportional to 192,509.98, 288,742.88 and 50,368.97 is: 75,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,509.98 : 288,742.88 = 50,368.97 : x
  2. Step 2: Convert to fraction form
    192,509.98/288,742.88 = 50,368.97/x
  3. Step 3: Cross multiply
    192,509.98x = 288,742.88 × 50,368.97
  4. Step 4: Simplify right side
    192,509.98x = 14,543,682,308.21
  5. Step 5: Solve for x
    x = 14,543,682,308.21/192,509.98
  6. Step 6: Final answer
    x = 75,547.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.