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Finding the Fourth Proportional to 208,684.95, 287,983.11 and 113,189.59

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Solution

The fourth proportional to 208,684.95, 287,983.11 and 113,189.59 is: 156,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,684.95 : 287,983.11 = 113,189.59 : x
  2. Step 2: Convert to fraction form
    208,684.95/287,983.11 = 113,189.59/x
  3. Step 3: Cross multiply
    208,684.95x = 287,983.11 × 113,189.59
  4. Step 4: Simplify right side
    208,684.95x = 32,596,690,147.82
  5. Step 5: Solve for x
    x = 32,596,690,147.82/208,684.95
  6. Step 6: Final answer
    x = 156,200.48

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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.