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Finding the Fourth Proportional to 132,361.48, 198,548.70 and 53,465.80

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Solution

The fourth proportional to 132,361.48, 198,548.70 and 53,465.80 is: 80,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,361.48 : 198,548.70 = 53,465.80 : x
  2. Step 2: Convert to fraction form
    132,361.48/198,548.70 = 53,465.80/x
  3. Step 3: Cross multiply
    132,361.48x = 198,548.70 × 53,465.80
  4. Step 4: Simplify right side
    132,361.48x = 10,615,565,084.46
  5. Step 5: Solve for x
    x = 10,615,565,084.46/132,361.48
  6. Step 6: Final answer
    x = 80,201.32

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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.