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Finding the Fourth Proportional to 270,692.84, 406,061.10 and 83,704.34

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Solution

The fourth proportional to 270,692.84, 406,061.10 and 83,704.34 is: 125,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,692.84 : 406,061.10 = 83,704.34 : x
  2. Step 2: Convert to fraction form
    270,692.84/406,061.10 = 83,704.34/x
  3. Step 3: Cross multiply
    270,692.84x = 406,061.10 × 83,704.34
  4. Step 4: Simplify right side
    270,692.84x = 33,989,074,344.87
  5. Step 5: Solve for x
    x = 33,989,074,344.87/270,692.84
  6. Step 6: Final answer
    x = 125,563.26

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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.