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Finding the Fourth Proportional to 187,416, 281,162.88 and 76,608

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Solution

The fourth proportional to 187,416, 281,162.88 and 76,608 is: 114,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,416 : 281,162.88 = 76,608 : x
  2. Step 2: Convert to fraction form
    187,416/281,162.88 = 76,608/x
  3. Step 3: Cross multiply
    187,416x = 281,162.88 × 76,608
  4. Step 4: Simplify right side
    187,416x = 21,539,325,911.04
  5. Step 5: Solve for x
    x = 21,539,325,911.04/187,416
  6. Step 6: Final answer
    x = 114,927.89

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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.