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Finding the Fourth Proportional to 114,682.50, 158,261.85 and 64,381.50

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Solution

The fourth proportional to 114,682.50, 158,261.85 and 64,381.50 is: 88,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,682.50 : 158,261.85 = 64,381.50 : x
  2. Step 2: Convert to fraction form
    114,682.50/158,261.85 = 64,381.50/x
  3. Step 3: Cross multiply
    114,682.50x = 158,261.85 × 64,381.50
  4. Step 4: Simplify right side
    114,682.50x = 10,189,135,295.78
  5. Step 5: Solve for x
    x = 10,189,135,295.78/114,682.50
  6. Step 6: Final answer
    x = 88,846.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.