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Finding the Fourth Proportional to 132,924, 199,274.22 and 54,094.80

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Solution

The fourth proportional to 132,924, 199,274.22 and 54,094.80 is: 81,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,924 : 199,274.22 = 54,094.80 : x
  2. Step 2: Convert to fraction form
    132,924/199,274.22 = 54,094.80/x
  3. Step 3: Cross multiply
    132,924x = 199,274.22 × 54,094.80
  4. Step 4: Simplify right side
    132,924x = 10,779,699,076.06
  5. Step 5: Solve for x
    x = 10,779,699,076.06/132,924
  6. Step 6: Final answer
    x = 81,096.71

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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.