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Finding the Fourth Proportional to 342,957.14, 514,247.79 and 106,234.10

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Solution

The fourth proportional to 342,957.14, 514,247.79 and 106,234.10 is: 159,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,957.14 : 514,247.79 = 106,234.10 : x
  2. Step 2: Convert to fraction form
    342,957.14/514,247.79 = 106,234.10/x
  3. Step 3: Cross multiply
    342,957.14x = 514,247.79 × 106,234.10
  4. Step 4: Simplify right side
    342,957.14x = 54,630,651,147.64
  5. Step 5: Solve for x
    x = 54,630,651,147.64/342,957.14
  6. Step 6: Final answer
    x = 159,292.94

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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.