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Finding the Fourth Proportional to 133,382.72, 184,047.72 and 76,783.16

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Solution

The fourth proportional to 133,382.72, 184,047.72 and 76,783.16 is: 105,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,382.72 : 184,047.72 = 76,783.16 : x
  2. Step 2: Convert to fraction form
    133,382.72/184,047.72 = 76,783.16/x
  3. Step 3: Cross multiply
    133,382.72x = 184,047.72 × 76,783.16
  4. Step 4: Simplify right side
    133,382.72x = 14,131,765,532.40
  5. Step 5: Solve for x
    x = 14,131,765,532.40/133,382.72
  6. Step 6: Final answer
    x = 105,949.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.