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Finding the Fourth Proportional to 128,002.60, 192,222.60 and 83,825.20

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Solution

The fourth proportional to 128,002.60, 192,222.60 and 83,825.20 is: 125,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,002.60 : 192,222.60 = 83,825.20 : x
  2. Step 2: Convert to fraction form
    128,002.60/192,222.60 = 83,825.20/x
  3. Step 3: Cross multiply
    128,002.60x = 192,222.60 × 83,825.20
  4. Step 4: Simplify right side
    128,002.60x = 16,113,097,889.52
  5. Step 5: Solve for x
    x = 16,113,097,889.52/128,002.60
  6. Step 6: Final answer
    x = 125,881.02

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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.