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Finding the Fourth Proportional to 114,430.41, 171,693 and 61,777.98

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Solution

The fourth proportional to 114,430.41, 171,693 and 61,777.98 is: 92,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,430.41 : 171,693 = 61,777.98 : x
  2. Step 2: Convert to fraction form
    114,430.41/171,693 = 61,777.98/x
  3. Step 3: Cross multiply
    114,430.41x = 171,693 × 61,777.98
  4. Step 4: Simplify right side
    114,430.41x = 10,606,846,720.14
  5. Step 5: Solve for x
    x = 10,606,846,720.14/114,430.41
  6. Step 6: Final answer
    x = 92,692.55

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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.