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Finding the Fourth Proportional to 283,002.37, 424,245.81 and 181,827.93

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Solution

The fourth proportional to 283,002.37, 424,245.81 and 181,827.93 is: 272,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,002.37 : 424,245.81 = 181,827.93 : x
  2. Step 2: Convert to fraction form
    283,002.37/424,245.81 = 181,827.93/x
  3. Step 3: Cross multiply
    283,002.37x = 424,245.81 × 181,827.93
  4. Step 4: Simplify right side
    283,002.37x = 77,139,737,443.47
  5. Step 5: Solve for x
    x = 77,139,737,443.47/283,002.37
  6. Step 6: Final answer
    x = 272,576.29

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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.