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Finding the Fourth Proportional to 171,568.60, 257,377.74 and 53,249.50

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Solution

The fourth proportional to 171,568.60, 257,377.74 and 53,249.50 is: 79,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,568.60 : 257,377.74 = 53,249.50 : x
  2. Step 2: Convert to fraction form
    171,568.60/257,377.74 = 53,249.50/x
  3. Step 3: Cross multiply
    171,568.60x = 257,377.74 × 53,249.50
  4. Step 4: Simplify right side
    171,568.60x = 13,705,235,966.13
  5. Step 5: Solve for x
    x = 13,705,235,966.13/171,568.60
  6. Step 6: Final answer
    x = 79,881.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.