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Finding the Fourth Proportional to 283,145.60, 424,791.90 and 105,653.94

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Solution

The fourth proportional to 283,145.60, 424,791.90 and 105,653.94 is: 158,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,145.60 : 424,791.90 = 105,653.94 : x
  2. Step 2: Convert to fraction form
    283,145.60/424,791.90 = 105,653.94/x
  3. Step 3: Cross multiply
    283,145.60x = 424,791.90 × 105,653.94
  4. Step 4: Simplify right side
    283,145.60x = 44,880,937,915.09
  5. Step 5: Solve for x
    x = 44,880,937,915.09/283,145.60
  6. Step 6: Final answer
    x = 158,508.34

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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.