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Finding the Fourth Proportional to 171,914.34, 257,871.54 and 53,595.20

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Solution

The fourth proportional to 171,914.34, 257,871.54 and 53,595.20 is: 80,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,914.34 : 257,871.54 = 53,595.20 : x
  2. Step 2: Convert to fraction form
    171,914.34/257,871.54 = 53,595.20/x
  3. Step 3: Cross multiply
    171,914.34x = 257,871.54 × 53,595.20
  4. Step 4: Simplify right side
    171,914.34x = 13,820,676,760.61
  5. Step 5: Solve for x
    x = 13,820,676,760.61/171,914.34
  6. Step 6: Final answer
    x = 80,392.81

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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.