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Finding the Fourth Proportional to 152,603.82, 228,903.48 and 37,198.80

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Solution

The fourth proportional to 152,603.82, 228,903.48 and 37,198.80 is: 55,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,603.82 : 228,903.48 = 37,198.80 : x
  2. Step 2: Convert to fraction form
    152,603.82/228,903.48 = 37,198.80/x
  3. Step 3: Cross multiply
    152,603.82x = 228,903.48 × 37,198.80
  4. Step 4: Simplify right side
    152,603.82x = 8,514,934,771.82
  5. Step 5: Solve for x
    x = 8,514,934,771.82/152,603.82
  6. Step 6: Final answer
    x = 55,797.65

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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.