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Finding the Fourth Proportional to 208,902.68, 288,007.28 and 166,025.32

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Solution

The fourth proportional to 208,902.68, 288,007.28 and 166,025.32 is: 228,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,902.68 : 288,007.28 = 166,025.32 : x
  2. Step 2: Convert to fraction form
    208,902.68/288,007.28 = 166,025.32/x
  3. Step 3: Cross multiply
    208,902.68x = 288,007.28 × 166,025.32
  4. Step 4: Simplify right side
    208,902.68x = 47,816,500,824.33
  5. Step 5: Solve for x
    x = 47,816,500,824.33/208,902.68
  6. Step 6: Final answer
    x = 228,893.67

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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.