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Finding the Fourth Proportional to 171,871.20, 257,831.10 and 53,530.20

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Solution

The fourth proportional to 171,871.20, 257,831.10 and 53,530.20 is: 80,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,871.20 : 257,831.10 = 53,530.20 : x
  2. Step 2: Convert to fraction form
    171,871.20/257,831.10 = 53,530.20/x
  3. Step 3: Cross multiply
    171,871.20x = 257,831.10 × 53,530.20
  4. Step 4: Simplify right side
    171,871.20x = 13,801,750,349.22
  5. Step 5: Solve for x
    x = 13,801,750,349.22/171,871.20
  6. Step 6: Final answer
    x = 80,302.87

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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.