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Finding the Fourth Proportional to 210,614.53, 315,977.19 and 75,692.23

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Solution

The fourth proportional to 210,614.53, 315,977.19 and 75,692.23 is: 113,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,614.53 : 315,977.19 = 75,692.23 : x
  2. Step 2: Convert to fraction form
    210,614.53/315,977.19 = 75,692.23/x
  3. Step 3: Cross multiply
    210,614.53x = 315,977.19 × 75,692.23
  4. Step 4: Simplify right side
    210,614.53x = 23,917,018,140.23
  5. Step 5: Solve for x
    x = 23,917,018,140.23/210,614.53
  6. Step 6: Final answer
    x = 113,558.25

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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.