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Finding the Fourth Proportional to 295,913.86, 443,912.91 and 96,170.02

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Solution

The fourth proportional to 295,913.86, 443,912.91 and 96,170.02 is: 144,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,913.86 : 443,912.91 = 96,170.02 : x
  2. Step 2: Convert to fraction form
    295,913.86/443,912.91 = 96,170.02/x
  3. Step 3: Cross multiply
    295,913.86x = 443,912.91 × 96,170.02
  4. Step 4: Simplify right side
    295,913.86x = 42,691,113,432.96
  5. Step 5: Solve for x
    x = 42,691,113,432.96/295,913.86
  6. Step 6: Final answer
    x = 144,268.72

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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.