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Finding the Fourth Proportional to 233,729.80, 350,076.30 and 180,968.20

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Solution

The fourth proportional to 233,729.80, 350,076.30 and 180,968.20 is: 271,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,729.80 : 350,076.30 = 180,968.20 : x
  2. Step 2: Convert to fraction form
    233,729.80/350,076.30 = 180,968.20/x
  3. Step 3: Cross multiply
    233,729.80x = 350,076.30 × 180,968.20
  4. Step 4: Simplify right side
    233,729.80x = 63,352,677,873.66
  5. Step 5: Solve for x
    x = 63,352,677,873.66/233,729.80
  6. Step 6: Final answer
    x = 271,050.92

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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.