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Finding the Fourth Proportional to 109,954.88, 151,738.12 and 59,654.24

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Solution

The fourth proportional to 109,954.88, 151,738.12 and 59,654.24 is: 82,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,954.88 : 151,738.12 = 59,654.24 : x
  2. Step 2: Convert to fraction form
    109,954.88/151,738.12 = 59,654.24/x
  3. Step 3: Cross multiply
    109,954.88x = 151,738.12 × 59,654.24
  4. Step 4: Simplify right side
    109,954.88x = 9,051,822,227.63
  5. Step 5: Solve for x
    x = 9,051,822,227.63/109,954.88
  6. Step 6: Final answer
    x = 82,323.06

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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.