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Finding the Fourth Proportional to 145,892.78, 218,751.60 and 57,040.44

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Solution

The fourth proportional to 145,892.78, 218,751.60 and 57,040.44 is: 85,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,892.78 : 218,751.60 = 57,040.44 : x
  2. Step 2: Convert to fraction form
    145,892.78/218,751.60 = 57,040.44/x
  3. Step 3: Cross multiply
    145,892.78x = 218,751.60 × 57,040.44
  4. Step 4: Simplify right side
    145,892.78x = 12,477,687,514.70
  5. Step 5: Solve for x
    x = 12,477,687,514.70/145,892.78
  6. Step 6: Final answer
    x = 85,526.42

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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.