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Finding the Fourth Proportional to 265,913.76, 366,954.30 and 145,057.80

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Solution

The fourth proportional to 265,913.76, 366,954.30 and 145,057.80 is: 200,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,913.76 : 366,954.30 = 145,057.80 : x
  2. Step 2: Convert to fraction form
    265,913.76/366,954.30 = 145,057.80/x
  3. Step 3: Cross multiply
    265,913.76x = 366,954.30 × 145,057.80
  4. Step 4: Simplify right side
    265,913.76x = 53,229,583,458.54
  5. Step 5: Solve for x
    x = 53,229,583,458.54/265,913.76
  6. Step 6: Final answer
    x = 200,176.12

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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.