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Finding the Fourth Proportional to 182,467.52, 251,750.15 and 105,971.87

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Solution

The fourth proportional to 182,467.52, 251,750.15 and 105,971.87 is: 146,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,467.52 : 251,750.15 = 105,971.87 : x
  2. Step 2: Convert to fraction form
    182,467.52/251,750.15 = 105,971.87/x
  3. Step 3: Cross multiply
    182,467.52x = 251,750.15 × 105,971.87
  4. Step 4: Simplify right side
    182,467.52x = 26,678,432,379.67
  5. Step 5: Solve for x
    x = 26,678,432,379.67/182,467.52
  6. Step 6: Final answer
    x = 146,209.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.