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Finding the Fourth Proportional to 133,514.84, 200,305.02 and 40,020.50

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Solution

The fourth proportional to 133,514.84, 200,305.02 and 40,020.50 is: 60,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,514.84 : 200,305.02 = 40,020.50 : x
  2. Step 2: Convert to fraction form
    133,514.84/200,305.02 = 40,020.50/x
  3. Step 3: Cross multiply
    133,514.84x = 200,305.02 × 40,020.50
  4. Step 4: Simplify right side
    133,514.84x = 8,016,307,052.91
  5. Step 5: Solve for x
    x = 8,016,307,052.91/133,514.84
  6. Step 6: Final answer
    x = 60,040.57

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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.