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Finding the Fourth Proportional to 235,472.81, 353,221.43 and 77,713.56

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Solution

The fourth proportional to 235,472.81, 353,221.43 and 77,713.56 is: 116,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,472.81 : 353,221.43 = 77,713.56 : x
  2. Step 2: Convert to fraction form
    235,472.81/353,221.43 = 77,713.56/x
  3. Step 3: Cross multiply
    235,472.81x = 353,221.43 × 77,713.56
  4. Step 4: Simplify right side
    235,472.81x = 27,450,094,405.02
  5. Step 5: Solve for x
    x = 27,450,094,405.02/235,472.81
  6. Step 6: Final answer
    x = 116,574.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.