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Finding the Fourth Proportional to 235,135.50, 324,489.38 and 127,707.63

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Solution

The fourth proportional to 235,135.50, 324,489.38 and 127,707.63 is: 176,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,135.50 : 324,489.38 = 127,707.63 : x
  2. Step 2: Convert to fraction form
    235,135.50/324,489.38 = 127,707.63/x
  3. Step 3: Cross multiply
    235,135.50x = 324,489.38 × 127,707.63
  4. Step 4: Simplify right side
    235,135.50x = 41,439,769,041.43
  5. Step 5: Solve for x
    x = 41,439,769,041.43/235,135.50
  6. Step 6: Final answer
    x = 176,237.82

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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.