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Finding the Fourth Proportional to 208,536.46, 287,778.15 and 116,654.56

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Solution

The fourth proportional to 208,536.46, 287,778.15 and 116,654.56 is: 160,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,536.46 : 287,778.15 = 116,654.56 : x
  2. Step 2: Convert to fraction form
    208,536.46/287,778.15 = 116,654.56/x
  3. Step 3: Cross multiply
    208,536.46x = 287,778.15 × 116,654.56
  4. Step 4: Simplify right side
    208,536.46x = 33,570,633,465.86
  5. Step 5: Solve for x
    x = 33,570,633,465.86/208,536.46
  6. Step 6: Final answer
    x = 160,982.08

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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.