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Finding the Fourth Proportional to 128,512.40, 192,768.60 and 83,411.60

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Solution

The fourth proportional to 128,512.40, 192,768.60 and 83,411.60 is: 125,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,512.40 : 192,768.60 = 83,411.60 : x
  2. Step 2: Convert to fraction form
    128,512.40/192,768.60 = 83,411.60/x
  3. Step 3: Cross multiply
    128,512.40x = 192,768.60 × 83,411.60
  4. Step 4: Simplify right side
    128,512.40x = 16,079,137,355.76
  5. Step 5: Solve for x
    x = 16,079,137,355.76/128,512.40
  6. Step 6: Final answer
    x = 125,117.40

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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.