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Finding the Fourth Proportional to 133,305.36, 183,981.42 and 76,705.80

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Solution

The fourth proportional to 133,305.36, 183,981.42 and 76,705.80 is: 105,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,305.36 : 183,981.42 = 76,705.80 : x
  2. Step 2: Convert to fraction form
    133,305.36/183,981.42 = 76,705.80/x
  3. Step 3: Cross multiply
    133,305.36x = 183,981.42 × 76,705.80
  4. Step 4: Simplify right side
    133,305.36x = 14,112,442,006.24
  5. Step 5: Solve for x
    x = 14,112,442,006.24/133,305.36
  6. Step 6: Final answer
    x = 105,865.53

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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.