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Finding the Fourth Proportional to 82,533.92, 114,479.52 and 80,346.40

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Solution

The fourth proportional to 82,533.92, 114,479.52 and 80,346.40 is: 111,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,533.92 : 114,479.52 = 80,346.40 : x
  2. Step 2: Convert to fraction form
    82,533.92/114,479.52 = 80,346.40/x
  3. Step 3: Cross multiply
    82,533.92x = 114,479.52 × 80,346.40
  4. Step 4: Simplify right side
    82,533.92x = 9,198,017,305.73
  5. Step 5: Solve for x
    x = 9,198,017,305.73/82,533.92
  6. Step 6: Final answer
    x = 111,445.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.