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Finding the Fourth Proportional to 182,461.80, 273,692.70 and 149,656.80

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Solution

The fourth proportional to 182,461.80, 273,692.70 and 149,656.80 is: 224,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,461.80 : 273,692.70 = 149,656.80 : x
  2. Step 2: Convert to fraction form
    182,461.80/273,692.70 = 149,656.80/x
  3. Step 3: Cross multiply
    182,461.80x = 273,692.70 × 149,656.80
  4. Step 4: Simplify right side
    182,461.80x = 40,959,973,665.36
  5. Step 5: Solve for x
    x = 40,959,973,665.36/182,461.80
  6. Step 6: Final answer
    x = 224,485.20

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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.