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Finding the Fourth Proportional to 174,236, 240,489.42 and 102,589.88

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Solution

The fourth proportional to 174,236, 240,489.42 and 102,589.88 is: 141,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,236 : 240,489.42 = 102,589.88 : x
  2. Step 2: Convert to fraction form
    174,236/240,489.42 = 102,589.88/x
  3. Step 3: Cross multiply
    174,236x = 240,489.42 × 102,589.88
  4. Step 4: Simplify right side
    174,236x = 24,671,780,739.07
  5. Step 5: Solve for x
    x = 24,671,780,739.07/174,236
  6. Step 6: Final answer
    x = 141,599.79

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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.