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Finding the Fourth Proportional to 374,461.80, 561,692.70 and 137,812.20

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Solution

The fourth proportional to 374,461.80, 561,692.70 and 137,812.20 is: 206,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,461.80 : 561,692.70 = 137,812.20 : x
  2. Step 2: Convert to fraction form
    374,461.80/561,692.70 = 137,812.20/x
  3. Step 3: Cross multiply
    374,461.80x = 561,692.70 × 137,812.20
  4. Step 4: Simplify right side
    374,461.80x = 77,408,106,710.94
  5. Step 5: Solve for x
    x = 77,408,106,710.94/374,461.80
  6. Step 6: Final answer
    x = 206,718.30

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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.