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Finding the Fourth Proportional to 169,589.84, 233,986.56 and 105,992.24

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Solution

The fourth proportional to 169,589.84, 233,986.56 and 105,992.24 is: 146,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,589.84 : 233,986.56 = 105,992.24 : x
  2. Step 2: Convert to fraction form
    169,589.84/233,986.56 = 105,992.24/x
  3. Step 3: Cross multiply
    169,589.84x = 233,986.56 × 105,992.24
  4. Step 4: Simplify right side
    169,589.84x = 24,800,759,624.29
  5. Step 5: Solve for x
    x = 24,800,759,624.29/169,589.84
  6. Step 6: Final answer
    x = 146,239.65

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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.