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Finding the Fourth Proportional to 133,139.86, 183,734.24 and 75,776.37

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Solution

The fourth proportional to 133,139.86, 183,734.24 and 75,776.37 is: 104,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,139.86 : 183,734.24 = 75,776.37 : x
  2. Step 2: Convert to fraction form
    133,139.86/183,734.24 = 75,776.37/x
  3. Step 3: Cross multiply
    133,139.86x = 183,734.24 × 75,776.37
  4. Step 4: Simplify right side
    133,139.86x = 13,922,713,751.91
  5. Step 5: Solve for x
    x = 13,922,713,751.91/133,139.86
  6. Step 6: Final answer
    x = 104,572.09

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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.