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Finding the Fourth Proportional to 145,182.94, 200,358.11 and 80,657.05

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Solution

The fourth proportional to 145,182.94, 200,358.11 and 80,657.05 is: 111,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,182.94 : 200,358.11 = 80,657.05 : x
  2. Step 2: Convert to fraction form
    145,182.94/200,358.11 = 80,657.05/x
  3. Step 3: Cross multiply
    145,182.94x = 200,358.11 × 80,657.05
  4. Step 4: Simplify right side
    145,182.94x = 16,160,293,796.92
  5. Step 5: Solve for x
    x = 16,160,293,796.92/145,182.94
  6. Step 6: Final answer
    x = 111,309.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.