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Finding the Fourth Proportional to 262,753.48, 362,579.16 and 148,027.06

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Solution

The fourth proportional to 262,753.48, 362,579.16 and 148,027.06 is: 204,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,753.48 : 362,579.16 = 148,027.06 : x
  2. Step 2: Convert to fraction form
    262,753.48/362,579.16 = 148,027.06/x
  3. Step 3: Cross multiply
    262,753.48x = 362,579.16 × 148,027.06
  4. Step 4: Simplify right side
    262,753.48x = 53,671,527,072.07
  5. Step 5: Solve for x
    x = 53,671,527,072.07/262,753.48
  6. Step 6: Final answer
    x = 204,265.71

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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.