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Finding the Fourth Proportional to 133,624.80, 200,437.20 and 33,784.80

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Solution

The fourth proportional to 133,624.80, 200,437.20 and 33,784.80 is: 50,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,624.80 : 200,437.20 = 33,784.80 : x
  2. Step 2: Convert to fraction form
    133,624.80/200,437.20 = 33,784.80/x
  3. Step 3: Cross multiply
    133,624.80x = 200,437.20 × 33,784.80
  4. Step 4: Simplify right side
    133,624.80x = 6,771,730,714.56
  5. Step 5: Solve for x
    x = 6,771,730,714.56/133,624.80
  6. Step 6: Final answer
    x = 50,677.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.