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Finding the Fourth Proportional to 262,319.64, 361,955.97 and 147,582.33

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Solution

The fourth proportional to 262,319.64, 361,955.97 and 147,582.33 is: 203,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,319.64 : 361,955.97 = 147,582.33 : x
  2. Step 2: Convert to fraction form
    262,319.64/361,955.97 = 147,582.33/x
  3. Step 3: Cross multiply
    262,319.64x = 361,955.97 × 147,582.33
  4. Step 4: Simplify right side
    262,319.64x = 53,418,305,410.01
  5. Step 5: Solve for x
    x = 53,418,305,410.01/262,319.64
  6. Step 6: Final answer
    x = 203,638.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.