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Finding the Fourth Proportional to 285,982, 428,971.14 and 72,748.08

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Solution

The fourth proportional to 285,982, 428,971.14 and 72,748.08 is: 109,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,982 : 428,971.14 = 72,748.08 : x
  2. Step 2: Convert to fraction form
    285,982/428,971.14 = 72,748.08/x
  3. Step 3: Cross multiply
    285,982x = 428,971.14 × 72,748.08
  4. Step 4: Simplify right side
    285,982x = 31,206,826,810.41
  5. Step 5: Solve for x
    x = 31,206,826,810.41/285,982
  6. Step 6: Final answer
    x = 109,121.65

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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.