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Finding the Fourth Proportional to 174,956.40, 262,255.40 and 86,073.20

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Solution

The fourth proportional to 174,956.40, 262,255.40 and 86,073.20 is: 129,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,956.40 : 262,255.40 = 86,073.20 : x
  2. Step 2: Convert to fraction form
    174,956.40/262,255.40 = 86,073.20/x
  3. Step 3: Cross multiply
    174,956.40x = 262,255.40 × 86,073.20
  4. Step 4: Simplify right side
    174,956.40x = 22,573,161,495.28
  5. Step 5: Solve for x
    x = 22,573,161,495.28/174,956.40
  6. Step 6: Final answer
    x = 129,021.64

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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.