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Finding the Fourth Proportional to 128,059.20, 192,261.60 and 81,403.20

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Solution

The fourth proportional to 128,059.20, 192,261.60 and 81,403.20 is: 122,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,059.20 : 192,261.60 = 81,403.20 : x
  2. Step 2: Convert to fraction form
    128,059.20/192,261.60 = 81,403.20/x
  3. Step 3: Cross multiply
    128,059.20x = 192,261.60 × 81,403.20
  4. Step 4: Simplify right side
    128,059.20x = 15,650,709,477.12
  5. Step 5: Solve for x
    x = 15,650,709,477.12/128,059.20
  6. Step 6: Final answer
    x = 122,214.64

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1.5x scale

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.