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Finding the Fourth Proportional to 357,141.64, 492,715.16 and 204,097.73

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Solution

The fourth proportional to 357,141.64, 492,715.16 and 204,097.73 is: 281,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,141.64 : 492,715.16 = 204,097.73 : x
  2. Step 2: Convert to fraction form
    357,141.64/492,715.16 = 204,097.73/x
  3. Step 3: Cross multiply
    357,141.64x = 492,715.16 × 204,097.73
  4. Step 4: Simplify right side
    357,141.64x = 100,562,045,692.59
  5. Step 5: Solve for x
    x = 100,562,045,692.59/357,141.64
  6. Step 6: Final answer
    x = 281,574.69

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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.