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Finding the Fourth Proportional to 273,001.64, 409,502.52 and 106,673

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Solution

The fourth proportional to 273,001.64, 409,502.52 and 106,673 is: 160,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,001.64 : 409,502.52 = 106,673 : x
  2. Step 2: Convert to fraction form
    273,001.64/409,502.52 = 106,673/x
  3. Step 3: Cross multiply
    273,001.64x = 409,502.52 × 106,673
  4. Step 4: Simplify right side
    273,001.64x = 43,682,862,315.96
  5. Step 5: Solve for x
    x = 43,682,862,315.96/273,001.64
  6. Step 6: Final answer
    x = 160,009.52

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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.