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Finding the Fourth Proportional to 285,513.84, 428,237.64 and 75,168.18

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Solution

The fourth proportional to 285,513.84, 428,237.64 and 75,168.18 is: 112,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,513.84 : 428,237.64 = 75,168.18 : x
  2. Step 2: Convert to fraction form
    285,513.84/428,237.64 = 75,168.18/x
  3. Step 3: Cross multiply
    285,513.84x = 428,237.64 × 75,168.18
  4. Step 4: Simplify right side
    285,513.84x = 32,189,844,006.30
  5. Step 5: Solve for x
    x = 32,189,844,006.30/285,513.84
  6. Step 6: Final answer
    x = 112,743.55

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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.