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Finding the Fourth Proportional to 265,851.60, 397,999.80 and 177,205.20

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Solution

The fourth proportional to 265,851.60, 397,999.80 and 177,205.20 is: 265,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,851.60 : 397,999.80 = 177,205.20 : x
  2. Step 2: Convert to fraction form
    265,851.60/397,999.80 = 177,205.20/x
  3. Step 3: Cross multiply
    265,851.60x = 397,999.80 × 177,205.20
  4. Step 4: Simplify right side
    265,851.60x = 70,527,634,158.96
  5. Step 5: Solve for x
    x = 70,527,634,158.96/265,851.60
  6. Step 6: Final answer
    x = 265,289.49

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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.