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Finding the Fourth Proportional to 208,777.15, 313,323.15 and 152,761.76

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Solution

The fourth proportional to 208,777.15, 313,323.15 and 152,761.76 is: 229,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,777.15 : 313,323.15 = 152,761.76 : x
  2. Step 2: Convert to fraction form
    208,777.15/313,323.15 = 152,761.76/x
  3. Step 3: Cross multiply
    208,777.15x = 313,323.15 × 152,761.76
  4. Step 4: Simplify right side
    208,777.15x = 47,863,797,786.39
  5. Step 5: Solve for x
    x = 47,863,797,786.39/208,777.15
  6. Step 6: Final answer
    x = 229,257.84

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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.