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Finding the Fourth Proportional to 235,253.94, 324,649.90 and 127,824.40

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Solution

The fourth proportional to 235,253.94, 324,649.90 and 127,824.40 is: 176,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,253.94 : 324,649.90 = 127,824.40 : x
  2. Step 2: Convert to fraction form
    235,253.94/324,649.90 = 127,824.40/x
  3. Step 3: Cross multiply
    235,253.94x = 324,649.90 × 127,824.40
  4. Step 4: Simplify right side
    235,253.94x = 41,498,178,677.56
  5. Step 5: Solve for x
    x = 41,498,178,677.56/235,253.94
  6. Step 6: Final answer
    x = 176,397.38

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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.