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Finding the Fourth Proportional to 224,574.82, 309,965.37 and 148,107.73

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Solution

The fourth proportional to 224,574.82, 309,965.37 and 148,107.73 is: 204,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,574.82 : 309,965.37 = 148,107.73 : x
  2. Step 2: Convert to fraction form
    224,574.82/309,965.37 = 148,107.73/x
  3. Step 3: Cross multiply
    224,574.82x = 309,965.37 × 148,107.73
  4. Step 4: Simplify right side
    224,574.82x = 45,908,267,329.31
  5. Step 5: Solve for x
    x = 45,908,267,329.31/224,574.82
  6. Step 6: Final answer
    x = 204,423.04

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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.