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Finding the Fourth Proportional to 230,669.61, 318,454.84 and 150,056.79

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Solution

The fourth proportional to 230,669.61, 318,454.84 and 150,056.79 is: 207,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,669.61 : 318,454.84 = 150,056.79 : x
  2. Step 2: Convert to fraction form
    230,669.61/318,454.84 = 150,056.79/x
  3. Step 3: Cross multiply
    230,669.61x = 318,454.84 × 150,056.79
  4. Step 4: Simplify right side
    230,669.61x = 47,786,311,050.36
  5. Step 5: Solve for x
    x = 47,786,311,050.36/230,669.61
  6. Step 6: Final answer
    x = 207,163.44

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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.