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Finding the Fourth Proportional to 235,257.72, 324,657.64 and 127,827.76

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Solution

The fourth proportional to 235,257.72, 324,657.64 and 127,827.76 is: 176,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,257.72 : 324,657.64 = 127,827.76 : x
  2. Step 2: Convert to fraction form
    235,257.72/324,657.64 = 127,827.76/x
  3. Step 3: Cross multiply
    235,257.72x = 324,657.64 × 127,827.76
  4. Step 4: Simplify right side
    235,257.72x = 41,500,257,756.87
  5. Step 5: Solve for x
    x = 41,500,257,756.87/235,257.72
  6. Step 6: Final answer
    x = 176,403.38

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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.