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Finding the Fourth Proportional to 133,516.84, 200,308.02 and 40,022.50

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Solution

The fourth proportional to 133,516.84, 200,308.02 and 40,022.50 is: 60,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,516.84 : 200,308.02 = 40,022.50 : x
  2. Step 2: Convert to fraction form
    133,516.84/200,308.02 = 40,022.50/x
  3. Step 3: Cross multiply
    133,516.84x = 200,308.02 × 40,022.50
  4. Step 4: Simplify right side
    133,516.84x = 8,016,827,730.45
  5. Step 5: Solve for x
    x = 8,016,827,730.45/133,516.84
  6. Step 6: Final answer
    x = 60,043.57

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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.