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Finding the Fourth Proportional to 287,823.26, 431,735.93 and 88,142.78

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Solution

The fourth proportional to 287,823.26, 431,735.93 and 88,142.78 is: 132,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,823.26 : 431,735.93 = 88,142.78 : x
  2. Step 2: Convert to fraction form
    287,823.26/431,735.93 = 88,142.78/x
  3. Step 3: Cross multiply
    287,823.26x = 431,735.93 × 88,142.78
  4. Step 4: Simplify right side
    287,823.26x = 38,054,405,096.09
  5. Step 5: Solve for x
    x = 38,054,405,096.09/287,823.26
  6. Step 6: Final answer
    x = 132,214.49

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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.