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Finding the Fourth Proportional to 303,200.92, 454,848.16 and 103,474.56

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Solution

The fourth proportional to 303,200.92, 454,848.16 and 103,474.56 is: 155,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,200.92 : 454,848.16 = 103,474.56 : x
  2. Step 2: Convert to fraction form
    303,200.92/454,848.16 = 103,474.56/x
  3. Step 3: Cross multiply
    303,200.92x = 454,848.16 × 103,474.56
  4. Step 4: Simplify right side
    303,200.92x = 47,065,213,222.81
  5. Step 5: Solve for x
    x = 47,065,213,222.81/303,200.92
  6. Step 6: Final answer
    x = 155,227.80

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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.