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Finding the Fourth Proportional to 268,734.30, 402,712.65 and 118,851.90

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Solution

The fourth proportional to 268,734.30, 402,712.65 and 118,851.90 is: 178,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,734.30 : 402,712.65 = 118,851.90 : x
  2. Step 2: Convert to fraction form
    268,734.30/402,712.65 = 118,851.90/x
  3. Step 3: Cross multiply
    268,734.30x = 402,712.65 × 118,851.90
  4. Step 4: Simplify right side
    268,734.30x = 47,863,163,606.54
  5. Step 5: Solve for x
    x = 47,863,163,606.54/268,734.30
  6. Step 6: Final answer
    x = 178,105.90

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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.