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Finding the Fourth Proportional to 268,732.34, 402,849.63 and 118,893.14

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Solution

The fourth proportional to 268,732.34, 402,849.63 and 118,893.14 is: 178,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,732.34 : 402,849.63 = 118,893.14 : x
  2. Step 2: Convert to fraction form
    268,732.34/402,849.63 = 118,893.14/x
  3. Step 3: Cross multiply
    268,732.34x = 402,849.63 × 118,893.14
  4. Step 4: Simplify right side
    268,732.34x = 47,896,057,458.54
  5. Step 5: Solve for x
    x = 47,896,057,458.54/268,732.34
  6. Step 6: Final answer
    x = 178,229.60

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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.