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Finding the Fourth Proportional to 187,857.88, 281,803.22 and 47,616.50

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Solution

The fourth proportional to 187,857.88, 281,803.22 and 47,616.50 is: 71,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,857.88 : 281,803.22 = 47,616.50 : x
  2. Step 2: Convert to fraction form
    187,857.88/281,803.22 = 47,616.50/x
  3. Step 3: Cross multiply
    187,857.88x = 281,803.22 × 47,616.50
  4. Step 4: Simplify right side
    187,857.88x = 13,418,483,025.13
  5. Step 5: Solve for x
    x = 13,418,483,025.13/187,857.88
  6. Step 6: Final answer
    x = 71,428.91

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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.