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Finding the Fourth Proportional to 208,732.68, 288,051.21 and 113,239.36

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Solution

The fourth proportional to 208,732.68, 288,051.21 and 113,239.36 is: 156,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,732.68 : 288,051.21 = 113,239.36 : x
  2. Step 2: Convert to fraction form
    208,732.68/288,051.21 = 113,239.36/x
  3. Step 3: Cross multiply
    208,732.68x = 288,051.21 × 113,239.36
  4. Step 4: Simplify right side
    208,732.68x = 32,618,734,667.63
  5. Step 5: Solve for x
    x = 32,618,734,667.63/208,732.68
  6. Step 6: Final answer
    x = 156,270.38

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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.