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Finding the Fourth Proportional to 133,783.92, 200,705.46 and 45,034.50

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Solution

The fourth proportional to 133,783.92, 200,705.46 and 45,034.50 is: 67,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,783.92 : 200,705.46 = 45,034.50 : x
  2. Step 2: Convert to fraction form
    133,783.92/200,705.46 = 45,034.50/x
  3. Step 3: Cross multiply
    133,783.92x = 200,705.46 × 45,034.50
  4. Step 4: Simplify right side
    133,783.92x = 9,038,670,038.37
  5. Step 5: Solve for x
    x = 9,038,670,038.37/133,783.92
  6. Step 6: Final answer
    x = 67,561.71

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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.