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Finding the Fourth Proportional to 171,709.60, 257,564.40 and 115,722.40

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Solution

The fourth proportional to 171,709.60, 257,564.40 and 115,722.40 is: 173,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,709.60 : 257,564.40 = 115,722.40 : x
  2. Step 2: Convert to fraction form
    171,709.60/257,564.40 = 115,722.40/x
  3. Step 3: Cross multiply
    171,709.60x = 257,564.40 × 115,722.40
  4. Step 4: Simplify right side
    171,709.60x = 29,805,970,522.56
  5. Step 5: Solve for x
    x = 29,805,970,522.56/171,709.60
  6. Step 6: Final answer
    x = 173,583.60

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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.