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Finding the Fourth Proportional to 142,757.55, 214,147.26 and 37,575

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Solution

The fourth proportional to 142,757.55, 214,147.26 and 37,575 is: 56,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,757.55 : 214,147.26 = 37,575 : x
  2. Step 2: Convert to fraction form
    142,757.55/214,147.26 = 37,575/x
  3. Step 3: Cross multiply
    142,757.55x = 214,147.26 × 37,575
  4. Step 4: Simplify right side
    142,757.55x = 8,046,583,294.50
  5. Step 5: Solve for x
    x = 8,046,583,294.50/142,757.55
  6. Step 6: Final answer
    x = 56,365.38

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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.