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Finding the Fourth Proportional to 133,810.41, 200,715.61 and 45,056.48

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Solution

The fourth proportional to 133,810.41, 200,715.61 and 45,056.48 is: 67,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,810.41 : 200,715.61 = 45,056.48 : x
  2. Step 2: Convert to fraction form
    133,810.41/200,715.61 = 45,056.48/x
  3. Step 3: Cross multiply
    133,810.41x = 200,715.61 × 45,056.48
  4. Step 4: Simplify right side
    133,810.41x = 9,043,538,867.65
  5. Step 5: Solve for x
    x = 9,043,538,867.65/133,810.41
  6. Step 6: Final answer
    x = 67,584.72

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Why These Related Problems?

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