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Finding the Fourth Proportional to 208,132.82, 287,223.64 and 112,639.60

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Solution

The fourth proportional to 208,132.82, 287,223.64 and 112,639.60 is: 155,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,132.82 : 287,223.64 = 112,639.60 : x
  2. Step 2: Convert to fraction form
    208,132.82/287,223.64 = 112,639.60/x
  3. Step 3: Cross multiply
    208,132.82x = 287,223.64 × 112,639.60
  4. Step 4: Simplify right side
    208,132.82x = 32,352,755,920.14
  5. Step 5: Solve for x
    x = 32,352,755,920.14/208,132.82
  6. Step 6: Final answer
    x = 155,442.84

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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.