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Finding the Fourth Proportional to 208,200.84, 312,303.80 and 73,268.92

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Solution

The fourth proportional to 208,200.84, 312,303.80 and 73,268.92 is: 109,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,200.84 : 312,303.80 = 73,268.92 : x
  2. Step 2: Convert to fraction form
    208,200.84/312,303.80 = 73,268.92/x
  3. Step 3: Cross multiply
    208,200.84x = 312,303.80 × 73,268.92
  4. Step 4: Simplify right side
    208,200.84x = 22,882,162,137.90
  5. Step 5: Solve for x
    x = 22,882,162,137.90/208,200.84
  6. Step 6: Final answer
    x = 109,904.27

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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.