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Finding the Fourth Proportional to 255,902.82, 383,066.90 and 166,964.82

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Solution

The fourth proportional to 255,902.82, 383,066.90 and 166,964.82 is: 249,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.82 : 383,066.90 = 166,964.82 : x
  2. Step 2: Convert to fraction form
    255,902.82/383,066.90 = 166,964.82/x
  3. Step 3: Cross multiply
    255,902.82x = 383,066.90 × 166,964.82
  4. Step 4: Simplify right side
    255,902.82x = 63,958,696,006.46
  5. Step 5: Solve for x
    x = 63,958,696,006.46/255,902.82
  6. Step 6: Final answer
    x = 249,933.53

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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.