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Finding the Fourth Proportional to 152,658.40, 228,922.80 and 73,796.80

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Solution

The fourth proportional to 152,658.40, 228,922.80 and 73,796.80 is: 110,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,658.40 : 228,922.80 = 73,796.80 : x
  2. Step 2: Convert to fraction form
    152,658.40/228,922.80 = 73,796.80/x
  3. Step 3: Cross multiply
    152,658.40x = 228,922.80 × 73,796.80
  4. Step 4: Simplify right side
    152,658.40x = 16,893,770,087.04
  5. Step 5: Solve for x
    x = 16,893,770,087.04/152,658.40
  6. Step 6: Final answer
    x = 110,663.87

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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.