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Finding the Fourth Proportional to 145,682.50, 218,523.45 and 45,851.42

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Solution

The fourth proportional to 145,682.50, 218,523.45 and 45,851.42 is: 68,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,682.50 : 218,523.45 = 45,851.42 : x
  2. Step 2: Convert to fraction form
    145,682.50/218,523.45 = 45,851.42/x
  3. Step 3: Cross multiply
    145,682.50x = 218,523.45 × 45,851.42
  4. Step 4: Simplify right side
    145,682.50x = 10,019,610,485.80
  5. Step 5: Solve for x
    x = 10,019,610,485.80/145,682.50
  6. Step 6: Final answer
    x = 68,777.04

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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.