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Finding the Fourth Proportional to 128,461.60, 192,577.20 and 114,464.80

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Solution

The fourth proportional to 128,461.60, 192,577.20 and 114,464.80 is: 171,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,461.60 : 192,577.20 = 114,464.80 : x
  2. Step 2: Convert to fraction form
    128,461.60/192,577.20 = 114,464.80/x
  3. Step 3: Cross multiply
    128,461.60x = 192,577.20 × 114,464.80
  4. Step 4: Simplify right side
    128,461.60x = 22,043,310,682.56
  5. Step 5: Solve for x
    x = 22,043,310,682.56/128,461.60
  6. Step 6: Final answer
    x = 171,594.55

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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.