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Finding the Fourth Proportional to 272,278.45, 375,690.31 and 164,858.48

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Solution

The fourth proportional to 272,278.45, 375,690.31 and 164,858.48 is: 227,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,278.45 : 375,690.31 = 164,858.48 : x
  2. Step 2: Convert to fraction form
    272,278.45/375,690.31 = 164,858.48/x
  3. Step 3: Cross multiply
    272,278.45x = 375,690.31 × 164,858.48
  4. Step 4: Simplify right side
    272,278.45x = 61,935,733,457.33
  5. Step 5: Solve for x
    x = 61,935,733,457.33/272,278.45
  6. Step 6: Final answer
    x = 227,472.04

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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.