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Finding the Fourth Proportional to 133,692.47, 200,539.16 and 33,852.62

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Solution

The fourth proportional to 133,692.47, 200,539.16 and 33,852.62 is: 50,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,692.47 : 200,539.16 = 33,852.62 : x
  2. Step 2: Convert to fraction form
    133,692.47/200,539.16 = 33,852.62/x
  3. Step 3: Cross multiply
    133,692.47x = 200,539.16 × 33,852.62
  4. Step 4: Simplify right side
    133,692.47x = 6,788,774,933.59
  5. Step 5: Solve for x
    x = 6,788,774,933.59/133,692.47
  6. Step 6: Final answer
    x = 50,779.04

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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.