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Finding the Fourth Proportional to 135,567, 203,350.50 and 37,071

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Solution

The fourth proportional to 135,567, 203,350.50 and 37,071 is: 55,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,567 : 203,350.50 = 37,071 : x
  2. Step 2: Convert to fraction form
    135,567/203,350.50 = 37,071/x
  3. Step 3: Cross multiply
    135,567x = 203,350.50 × 37,071
  4. Step 4: Simplify right side
    135,567x = 7,538,406,385.50
  5. Step 5: Solve for x
    x = 7,538,406,385.50/135,567
  6. Step 6: Final answer
    x = 55,606.50

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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.