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Finding the Fourth Proportional to 182,830.40, 274,245.60 and 174,957.20

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Solution

The fourth proportional to 182,830.40, 274,245.60 and 174,957.20 is: 262,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,830.40 : 274,245.60 = 174,957.20 : x
  2. Step 2: Convert to fraction form
    182,830.40/274,245.60 = 174,957.20/x
  3. Step 3: Cross multiply
    182,830.40x = 274,245.60 × 174,957.20
  4. Step 4: Simplify right side
    182,830.40x = 47,981,242,288.32
  5. Step 5: Solve for x
    x = 47,981,242,288.32/182,830.40
  6. Step 6: Final answer
    x = 262,435.80

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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.