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Finding the Fourth Proportional to 235,178.96, 324,535.92 and 133,202

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Solution

The fourth proportional to 235,178.96, 324,535.92 and 133,202 is: 183,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,178.96 : 324,535.92 = 133,202 : x
  2. Step 2: Convert to fraction form
    235,178.96/324,535.92 = 133,202/x
  3. Step 3: Cross multiply
    235,178.96x = 324,535.92 × 133,202
  4. Step 4: Simplify right side
    235,178.96x = 43,228,833,615.84
  5. Step 5: Solve for x
    x = 43,228,833,615.84/235,178.96
  6. Step 6: Final answer
    x = 183,812.50

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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.