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Finding the Fourth Proportional to 133,185.84, 183,804.96 and 76,596

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Solution

The fourth proportional to 133,185.84, 183,804.96 and 76,596 is: 105,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,185.84 : 183,804.96 = 76,596 : x
  2. Step 2: Convert to fraction form
    133,185.84/183,804.96 = 76,596/x
  3. Step 3: Cross multiply
    133,185.84x = 183,804.96 × 76,596
  4. Step 4: Simplify right side
    133,185.84x = 14,078,724,716.16
  5. Step 5: Solve for x
    x = 14,078,724,716.16/133,185.84
  6. Step 6: Final answer
    x = 105,707.37

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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.