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Finding the Fourth Proportional to 208,893.69, 288,271.71 and 113,398.47

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Solution

The fourth proportional to 208,893.69, 288,271.71 and 113,398.47 is: 156,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,893.69 : 288,271.71 = 113,398.47 : x
  2. Step 2: Convert to fraction form
    208,893.69/288,271.71 = 113,398.47/x
  3. Step 3: Cross multiply
    208,893.69x = 288,271.71 × 113,398.47
  4. Step 4: Simplify right side
    208,893.69x = 32,689,570,858.28
  5. Step 5: Solve for x
    x = 32,689,570,858.28/208,893.69
  6. Step 6: Final answer
    x = 156,489.03

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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.