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Finding the Fourth Proportional to 135,699, 203,548.50 and 37,203

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Solution

The fourth proportional to 135,699, 203,548.50 and 37,203 is: 55,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,699 : 203,548.50 = 37,203 : x
  2. Step 2: Convert to fraction form
    135,699/203,548.50 = 37,203/x
  3. Step 3: Cross multiply
    135,699x = 203,548.50 × 37,203
  4. Step 4: Simplify right side
    135,699x = 7,572,614,845.50
  5. Step 5: Solve for x
    x = 7,572,614,845.50/135,699
  6. Step 6: Final answer
    x = 55,804.50

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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.