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Finding the Fourth Proportional to 133,111.84, 183,856.08 and 105,187.36

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Solution

The fourth proportional to 133,111.84, 183,856.08 and 105,187.36 is: 145,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,111.84 : 183,856.08 = 105,187.36 : x
  2. Step 2: Convert to fraction form
    133,111.84/183,856.08 = 105,187.36/x
  3. Step 3: Cross multiply
    133,111.84x = 183,856.08 × 105,187.36
  4. Step 4: Simplify right side
    133,111.84x = 19,339,335,675.15
  5. Step 5: Solve for x
    x = 19,339,335,675.15/133,111.84
  6. Step 6: Final answer
    x = 145,286.37

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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.