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Finding the Fourth Proportional to 136,950.24, 188,972.54 and 76,513.38

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Solution

The fourth proportional to 136,950.24, 188,972.54 and 76,513.38 is: 105,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,950.24 : 188,972.54 = 76,513.38 : x
  2. Step 2: Convert to fraction form
    136,950.24/188,972.54 = 76,513.38/x
  3. Step 3: Cross multiply
    136,950.24x = 188,972.54 × 76,513.38
  4. Step 4: Simplify right side
    136,950.24x = 14,458,927,762.59
  5. Step 5: Solve for x
    x = 14,458,927,762.59/136,950.24
  6. Step 6: Final answer
    x = 105,577.97

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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.