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Finding the Fourth Proportional to 208,352.82, 287,520.14 and 116,469.66

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Solution

The fourth proportional to 208,352.82, 287,520.14 and 116,469.66 is: 160,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,352.82 : 287,520.14 = 116,469.66 : x
  2. Step 2: Convert to fraction form
    208,352.82/287,520.14 = 116,469.66/x
  3. Step 3: Cross multiply
    208,352.82x = 287,520.14 × 116,469.66
  4. Step 4: Simplify right side
    208,352.82x = 33,487,372,366.60
  5. Step 5: Solve for x
    x = 33,487,372,366.60/208,352.82
  6. Step 6: Final answer
    x = 160,724.35

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1.5x scale

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.