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Finding the Fourth Proportional to 133,005, 183,563.94 and 76,427.40

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Solution

The fourth proportional to 133,005, 183,563.94 and 76,427.40 is: 105,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,005 : 183,563.94 = 76,427.40 : x
  2. Step 2: Convert to fraction form
    133,005/183,563.94 = 76,427.40/x
  3. Step 3: Cross multiply
    133,005x = 183,563.94 × 76,427.40
  4. Step 4: Simplify right side
    133,005x = 14,029,314,667.96
  5. Step 5: Solve for x
    x = 14,029,314,667.96/133,005
  6. Step 6: Final answer
    x = 105,479.60

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