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Finding the Fourth Proportional to 357,834.87, 536,840.19 and 178,005.15

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Solution

The fourth proportional to 357,834.87, 536,840.19 and 178,005.15 is: 267,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,834.87 : 536,840.19 = 178,005.15 : x
  2. Step 2: Convert to fraction form
    357,834.87/536,840.19 = 178,005.15/x
  3. Step 3: Cross multiply
    357,834.87x = 536,840.19 × 178,005.15
  4. Step 4: Simplify right side
    357,834.87x = 95,560,318,546.98
  5. Step 5: Solve for x
    x = 95,560,318,546.98/357,834.87
  6. Step 6: Final answer
    x = 267,051.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.