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Finding the Fourth Proportional to 262,197.84, 361,845.84 and 147,478.80

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Solution

The fourth proportional to 262,197.84, 361,845.84 and 147,478.80 is: 203,527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,197.84 : 361,845.84 = 147,478.80 : x
  2. Step 2: Convert to fraction form
    262,197.84/361,845.84 = 147,478.80/x
  3. Step 3: Cross multiply
    262,197.84x = 361,845.84 × 147,478.80
  4. Step 4: Simplify right side
    262,197.84x = 53,364,590,268.19
  5. Step 5: Solve for x
    x = 53,364,590,268.19/262,197.84
  6. Step 6: Final answer
    x = 203,527.96

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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.