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Finding the Fourth Proportional to 273,574.74, 409,606.38 and 140,167.74

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Solution

The fourth proportional to 273,574.74, 409,606.38 and 140,167.74 is: 209,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,574.74 : 409,606.38 = 140,167.74 : x
  2. Step 2: Convert to fraction form
    273,574.74/409,606.38 = 140,167.74/x
  3. Step 3: Cross multiply
    273,574.74x = 409,606.38 × 140,167.74
  4. Step 4: Simplify right side
    273,574.74x = 57,413,600,574.18
  5. Step 5: Solve for x
    x = 57,413,600,574.18/273,574.74
  6. Step 6: Final answer
    x = 209,864.41

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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.