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Finding the Fourth Proportional to 132,406.48, 198,497.84 and 57,469.96

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Solution

The fourth proportional to 132,406.48, 198,497.84 and 57,469.96 is: 86,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,406.48 : 198,497.84 = 57,469.96 : x
  2. Step 2: Convert to fraction form
    132,406.48/198,497.84 = 57,469.96/x
  3. Step 3: Cross multiply
    132,406.48x = 198,497.84 × 57,469.96
  4. Step 4: Simplify right side
    132,406.48x = 11,407,662,924.89
  5. Step 5: Solve for x
    x = 11,407,662,924.89/132,406.48
  6. Step 6: Final answer
    x = 86,156.38

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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.