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Finding the Fourth Proportional to 255,902.42, 353,145.82 and 142,732.46

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Solution

The fourth proportional to 255,902.42, 353,145.82 and 142,732.46 is: 196,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.42 : 353,145.82 = 142,732.46 : x
  2. Step 2: Convert to fraction form
    255,902.42/353,145.82 = 142,732.46/x
  3. Step 3: Cross multiply
    255,902.42x = 353,145.82 × 142,732.46
  4. Step 4: Simplify right side
    255,902.42x = 50,405,371,627.32
  5. Step 5: Solve for x
    x = 50,405,371,627.32/255,902.42
  6. Step 6: Final answer
    x = 196,971.06

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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.