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Finding the Fourth Proportional to 172,242.86, 258,369.15 and 47,583.86

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Solution

The fourth proportional to 172,242.86, 258,369.15 and 47,583.86 is: 71,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,242.86 : 258,369.15 = 47,583.86 : x
  2. Step 2: Convert to fraction form
    172,242.86/258,369.15 = 47,583.86/x
  3. Step 3: Cross multiply
    172,242.86x = 258,369.15 × 47,583.86
  4. Step 4: Simplify right side
    172,242.86x = 12,294,201,461.92
  5. Step 5: Solve for x
    x = 12,294,201,461.92/172,242.86
  6. Step 6: Final answer
    x = 71,377.13

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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.