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Finding the Fourth Proportional to 208,895.88, 288,268.56 and 113,400.48

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Solution

The fourth proportional to 208,895.88, 288,268.56 and 113,400.48 is: 156,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,895.88 : 288,268.56 = 113,400.48 : x
  2. Step 2: Convert to fraction form
    208,895.88/288,268.56 = 113,400.48/x
  3. Step 3: Cross multiply
    208,895.88x = 288,268.56 × 113,400.48
  4. Step 4: Simplify right side
    208,895.88x = 32,689,793,072.91
  5. Step 5: Solve for x
    x = 32,689,793,072.91/208,895.88
  6. Step 6: Final answer
    x = 156,488.45

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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.