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Finding the Fourth Proportional to 268,458.02, 402,324.14 and 118,672.82

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Solution

The fourth proportional to 268,458.02, 402,324.14 and 118,672.82 is: 177,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,458.02 : 402,324.14 = 118,672.82 : x
  2. Step 2: Convert to fraction form
    268,458.02/402,324.14 = 118,672.82/x
  3. Step 3: Cross multiply
    268,458.02x = 402,324.14 × 118,672.82
  4. Step 4: Simplify right side
    268,458.02x = 47,744,940,247.87
  5. Step 5: Solve for x
    x = 47,744,940,247.87/268,458.02
  6. Step 6: Final answer
    x = 177,848.81

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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.