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Finding the Fourth Proportional to 164,420.89, 226,898.43 and 91,823.01

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Solution

The fourth proportional to 164,420.89, 226,898.43 and 91,823.01 is: 126,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,420.89 : 226,898.43 = 91,823.01 : x
  2. Step 2: Convert to fraction form
    164,420.89/226,898.43 = 91,823.01/x
  3. Step 3: Cross multiply
    164,420.89x = 226,898.43 × 91,823.01
  4. Step 4: Simplify right side
    164,420.89x = 20,834,496,806.87
  5. Step 5: Solve for x
    x = 20,834,496,806.87/164,420.89
  6. Step 6: Final answer
    x = 126,714.41

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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.