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Finding the Fourth Proportional to 202,920.96, 280,084.08 and 116,889.84

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Solution

The fourth proportional to 202,920.96, 280,084.08 and 116,889.84 is: 161,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,920.96 : 280,084.08 = 116,889.84 : x
  2. Step 2: Convert to fraction form
    202,920.96/280,084.08 = 116,889.84/x
  3. Step 3: Cross multiply
    202,920.96x = 280,084.08 × 116,889.84
  4. Step 4: Simplify right side
    202,920.96x = 32,738,983,297.75
  5. Step 5: Solve for x
    x = 32,738,983,297.75/202,920.96
  6. Step 6: Final answer
    x = 161,338.60

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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.