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Finding the Fourth Proportional to 283,830.29, 425,745.44 and 194,813.93

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Solution

The fourth proportional to 283,830.29, 425,745.44 and 194,813.93 is: 292,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,830.29 : 425,745.44 = 194,813.93 : x
  2. Step 2: Convert to fraction form
    283,830.29/425,745.44 = 194,813.93/x
  3. Step 3: Cross multiply
    283,830.29x = 425,745.44 × 194,813.93
  4. Step 4: Simplify right side
    283,830.29x = 82,941,139,243.18
  5. Step 5: Solve for x
    x = 82,941,139,243.18/283,830.29
  6. Step 6: Final answer
    x = 292,220.89

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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.