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Finding the Fourth Proportional to 262,455.84, 362,190.48 and 147,736.68

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Solution

The fourth proportional to 262,455.84, 362,190.48 and 147,736.68 is: 203,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,455.84 : 362,190.48 = 147,736.68 : x
  2. Step 2: Convert to fraction form
    262,455.84/362,190.48 = 147,736.68/x
  3. Step 3: Cross multiply
    262,455.84x = 362,190.48 × 147,736.68
  4. Step 4: Simplify right side
    262,455.84x = 53,508,819,042.81
  5. Step 5: Solve for x
    x = 53,508,819,042.81/262,455.84
  6. Step 6: Final answer
    x = 203,877.42

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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.