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Finding the Fourth Proportional to 120,370.31, 166,108.99 and 66,654.17

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Solution

The fourth proportional to 120,370.31, 166,108.99 and 66,654.17 is: 91,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,370.31 : 166,108.99 = 66,654.17 : x
  2. Step 2: Convert to fraction form
    120,370.31/166,108.99 = 66,654.17/x
  3. Step 3: Cross multiply
    120,370.31x = 166,108.99 × 66,654.17
  4. Step 4: Simplify right side
    120,370.31x = 11,071,857,106.63
  5. Step 5: Solve for x
    x = 11,071,857,106.63/120,370.31
  6. Step 6: Final answer
    x = 91,981.63

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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.