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Finding the Fourth Proportional to 270,538.38, 373,462.54 and 161,681.12

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Solution

The fourth proportional to 270,538.38, 373,462.54 and 161,681.12 is: 223,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,538.38 : 373,462.54 = 161,681.12 : x
  2. Step 2: Convert to fraction form
    270,538.38/373,462.54 = 161,681.12/x
  3. Step 3: Cross multiply
    270,538.38x = 373,462.54 × 161,681.12
  4. Step 4: Simplify right side
    270,538.38x = 60,381,841,745.24
  5. Step 5: Solve for x
    x = 60,381,841,745.24/270,538.38
  6. Step 6: Final answer
    x = 223,191.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.