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Finding the Fourth Proportional to 187,529, 281,293.50 and 56,201

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Solution

The fourth proportional to 187,529, 281,293.50 and 56,201 is: 84,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,529 : 281,293.50 = 56,201 : x
  2. Step 2: Convert to fraction form
    187,529/281,293.50 = 56,201/x
  3. Step 3: Cross multiply
    187,529x = 281,293.50 × 56,201
  4. Step 4: Simplify right side
    187,529x = 15,808,975,993.50
  5. Step 5: Solve for x
    x = 15,808,975,993.50/187,529
  6. Step 6: Final answer
    x = 84,301.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.