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Finding the Fourth Proportional to 357,692.34, 536,538.62 and 133,023.44

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Solution

The fourth proportional to 357,692.34, 536,538.62 and 133,023.44 is: 199,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,692.34 : 536,538.62 = 133,023.44 : x
  2. Step 2: Convert to fraction form
    357,692.34/536,538.62 = 133,023.44/x
  3. Step 3: Cross multiply
    357,692.34x = 536,538.62 × 133,023.44
  4. Step 4: Simplify right side
    357,692.34x = 71,372,212,925.25
  5. Step 5: Solve for x
    x = 71,372,212,925.25/357,692.34
  6. Step 6: Final answer
    x = 199,535.20

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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.