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Finding the Fourth Proportional to 229,471.12, 316,704.36 and 180,961.84

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Solution

The fourth proportional to 229,471.12, 316,704.36 and 180,961.84 is: 249,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,471.12 : 316,704.36 = 180,961.84 : x
  2. Step 2: Convert to fraction form
    229,471.12/316,704.36 = 180,961.84/x
  3. Step 3: Cross multiply
    229,471.12x = 316,704.36 × 180,961.84
  4. Step 4: Simplify right side
    229,471.12x = 57,311,403,721.62
  5. Step 5: Solve for x
    x = 57,311,403,721.62/229,471.12
  6. Step 6: Final answer
    x = 249,754.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.