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Finding the Fourth Proportional to 283,135.56, 424,703.19 and 103,234.46

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Solution

The fourth proportional to 283,135.56, 424,703.19 and 103,234.46 is: 154,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,135.56 : 424,703.19 = 103,234.46 : x
  2. Step 2: Convert to fraction form
    283,135.56/424,703.19 = 103,234.46/x
  3. Step 3: Cross multiply
    283,135.56x = 424,703.19 × 103,234.46
  4. Step 4: Simplify right side
    283,135.56x = 43,844,005,337.09
  5. Step 5: Solve for x
    x = 43,844,005,337.09/283,135.56
  6. Step 6: Final answer
    x = 154,851.64

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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.