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Finding the Fourth Proportional to 283,137.84, 424,854.32 and 114,782.58

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Solution

The fourth proportional to 283,137.84, 424,854.32 and 114,782.58 is: 172,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,137.84 : 424,854.32 = 114,782.58 : x
  2. Step 2: Convert to fraction form
    283,137.84/424,854.32 = 114,782.58/x
  3. Step 3: Cross multiply
    283,137.84x = 424,854.32 × 114,782.58
  4. Step 4: Simplify right side
    283,137.84x = 48,765,874,399.83
  5. Step 5: Solve for x
    x = 48,765,874,399.83/283,137.84
  6. Step 6: Final answer
    x = 172,233.69

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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.