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Finding the Fourth Proportional to 283,059.85, 424,239.85 and 142,741.93

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Solution

The fourth proportional to 283,059.85, 424,239.85 and 142,741.93 is: 213,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,059.85 : 424,239.85 = 142,741.93 : x
  2. Step 2: Convert to fraction form
    283,059.85/424,239.85 = 142,741.93/x
  3. Step 3: Cross multiply
    283,059.85x = 424,239.85 × 142,741.93
  4. Step 4: Simplify right side
    283,059.85x = 60,556,814,971.91
  5. Step 5: Solve for x
    x = 60,556,814,971.91/283,059.85
  6. Step 6: Final answer
    x = 213,936.43

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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.