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Finding the Fourth Proportional to 132,548.94, 198,855.81 and 37,776.78

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Solution

The fourth proportional to 132,548.94, 198,855.81 and 37,776.78 is: 56,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,548.94 : 198,855.81 = 37,776.78 : x
  2. Step 2: Convert to fraction form
    132,548.94/198,855.81 = 37,776.78/x
  3. Step 3: Cross multiply
    132,548.94x = 198,855.81 × 37,776.78
  4. Step 4: Simplify right side
    132,548.94x = 7,512,132,186.09
  5. Step 5: Solve for x
    x = 7,512,132,186.09/132,548.94
  6. Step 6: Final answer
    x = 56,674.40

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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.