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Finding the Fourth Proportional to 132,021.38, 182,201.02 and 72,416.90

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Solution

The fourth proportional to 132,021.38, 182,201.02 and 72,416.90 is: 99,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,021.38 : 182,201.02 = 72,416.90 : x
  2. Step 2: Convert to fraction form
    132,021.38/182,201.02 = 72,416.90/x
  3. Step 3: Cross multiply
    132,021.38x = 182,201.02 × 72,416.90
  4. Step 4: Simplify right side
    132,021.38x = 13,194,433,045.24
  5. Step 5: Solve for x
    x = 13,194,433,045.24/132,021.38
  6. Step 6: Final answer
    x = 99,941.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.