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Finding the Fourth Proportional to 132,523.48, 198,778.74 and 49,411

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Solution

The fourth proportional to 132,523.48, 198,778.74 and 49,411 is: 74,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,523.48 : 198,778.74 = 49,411 : x
  2. Step 2: Convert to fraction form
    132,523.48/198,778.74 = 49,411/x
  3. Step 3: Cross multiply
    132,523.48x = 198,778.74 × 49,411
  4. Step 4: Simplify right side
    132,523.48x = 9,821,856,322.14
  5. Step 5: Solve for x
    x = 9,821,856,322.14/132,523.48
  6. Step 6: Final answer
    x = 74,114.08

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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.