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Finding the Fourth Proportional to 283,133.25, 424,765.58 and 96,144.93

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Solution

The fourth proportional to 283,133.25, 424,765.58 and 96,144.93 is: 144,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,133.25 : 424,765.58 = 96,144.93 : x
  2. Step 2: Convert to fraction form
    283,133.25/424,765.58 = 96,144.93/x
  3. Step 3: Cross multiply
    283,133.25x = 424,765.58 × 96,144.93
  4. Step 4: Simplify right side
    283,133.25x = 40,839,056,474.78
  5. Step 5: Solve for x
    x = 40,839,056,474.78/283,133.25
  6. Step 6: Final answer
    x = 144,239.71

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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.