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Finding the Fourth Proportional to 213,712.80, 320,180.40 and 174,055.20

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Solution

The fourth proportional to 213,712.80, 320,180.40 and 174,055.20 is: 260,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,712.80 : 320,180.40 = 174,055.20 : x
  2. Step 2: Convert to fraction form
    213,712.80/320,180.40 = 174,055.20/x
  3. Step 3: Cross multiply
    213,712.80x = 320,180.40 × 174,055.20
  4. Step 4: Simplify right side
    213,712.80x = 55,729,063,558.08
  5. Step 5: Solve for x
    x = 55,729,063,558.08/213,712.80
  6. Step 6: Final answer
    x = 260,766.15

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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.