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Finding the Fourth Proportional to 233,409.20, 350,135.58 and 180,877.64

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Solution

The fourth proportional to 233,409.20, 350,135.58 and 180,877.64 is: 271,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,409.20 : 350,135.58 = 180,877.64 : x
  2. Step 2: Convert to fraction form
    233,409.20/350,135.58 = 180,877.64/x
  3. Step 3: Cross multiply
    233,409.20x = 350,135.58 × 180,877.64
  4. Step 4: Simplify right side
    233,409.20x = 63,331,697,390.43
  5. Step 5: Solve for x
    x = 63,331,697,390.43/233,409.20
  6. Step 6: Final answer
    x = 271,333.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.