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Finding the Fourth Proportional to 342,847.72, 514,406.94 and 106,208.86

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Solution

The fourth proportional to 342,847.72, 514,406.94 and 106,208.86 is: 159,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,847.72 : 514,406.94 = 106,208.86 : x
  2. Step 2: Convert to fraction form
    342,847.72/514,406.94 = 106,208.86/x
  3. Step 3: Cross multiply
    342,847.72x = 514,406.94 × 106,208.86
  4. Step 4: Simplify right side
    342,847.72x = 54,634,574,673.49
  5. Step 5: Solve for x
    x = 54,634,574,673.49/342,847.72
  6. Step 6: Final answer
    x = 159,355.22

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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.