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Finding the Fourth Proportional to 187,880.42, 281,738.71 and 71,062.50

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Solution

The fourth proportional to 187,880.42, 281,738.71 and 71,062.50 is: 106,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,880.42 : 281,738.71 = 71,062.50 : x
  2. Step 2: Convert to fraction form
    187,880.42/281,738.71 = 71,062.50/x
  3. Step 3: Cross multiply
    187,880.42x = 281,738.71 × 71,062.50
  4. Step 4: Simplify right side
    187,880.42x = 20,021,057,079.38
  5. Step 5: Solve for x
    x = 20,021,057,079.38/187,880.42
  6. Step 6: Final answer
    x = 106,562.77

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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.