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Finding the Fourth Proportional to 133,858.98, 200,783.00 and 54,971.16

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Solution

The fourth proportional to 133,858.98, 200,783.00 and 54,971.16 is: 82,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,858.98 : 200,783.00 = 54,971.16 : x
  2. Step 2: Convert to fraction form
    133,858.98/200,783.00 = 54,971.16/x
  3. Step 3: Cross multiply
    133,858.98x = 200,783.00 × 54,971.16
  4. Step 4: Simplify right side
    133,858.98x = 11,037,273,802.77
  5. Step 5: Solve for x
    x = 11,037,273,802.77/133,858.98
  6. Step 6: Final answer
    x = 82,454.49

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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.