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Finding the Fourth Proportional to 286,489.26, 429,466.77 and 96,816.98

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Solution

The fourth proportional to 286,489.26, 429,466.77 and 96,816.98 is: 145,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,489.26 : 429,466.77 = 96,816.98 : x
  2. Step 2: Convert to fraction form
    286,489.26/429,466.77 = 96,816.98/x
  3. Step 3: Cross multiply
    286,489.26x = 429,466.77 × 96,816.98
  4. Step 4: Simplify right side
    286,489.26x = 41,579,675,197.67
  5. Step 5: Solve for x
    x = 41,579,675,197.67/286,489.26
  6. Step 6: Final answer
    x = 145,135.20

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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.