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Finding the Fourth Proportional to 174,969.20, 262,453.80 and 172,053.20

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Solution

The fourth proportional to 174,969.20, 262,453.80 and 172,053.20 is: 258,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,969.20 : 262,453.80 = 172,053.20 : x
  2. Step 2: Convert to fraction form
    174,969.20/262,453.80 = 172,053.20/x
  3. Step 3: Cross multiply
    174,969.20x = 262,453.80 × 172,053.20
  4. Step 4: Simplify right side
    174,969.20x = 45,156,016,142.16
  5. Step 5: Solve for x
    x = 45,156,016,142.16/174,969.20
  6. Step 6: Final answer
    x = 258,079.80

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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.