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Finding the Fourth Proportional to 287,182.26, 430,740.63 and 76,836.42

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Solution

The fourth proportional to 287,182.26, 430,740.63 and 76,836.42 is: 115,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,182.26 : 430,740.63 = 76,836.42 : x
  2. Step 2: Convert to fraction form
    287,182.26/430,740.63 = 76,836.42/x
  3. Step 3: Cross multiply
    287,182.26x = 430,740.63 × 76,836.42
  4. Step 4: Simplify right side
    287,182.26x = 33,096,567,957.74
  5. Step 5: Solve for x
    x = 33,096,567,957.74/287,182.26
  6. Step 6: Final answer
    x = 115,245.86

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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.