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Finding the Fourth Proportional to 342,638.20, 514,030.20 and 106,004.80

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Solution

The fourth proportional to 342,638.20, 514,030.20 and 106,004.80 is: 159,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,638.20 : 514,030.20 = 106,004.80 : x
  2. Step 2: Convert to fraction form
    342,638.20/514,030.20 = 106,004.80/x
  3. Step 3: Cross multiply
    342,638.20x = 514,030.20 × 106,004.80
  4. Step 4: Simplify right side
    342,638.20x = 54,489,668,544.96
  5. Step 5: Solve for x
    x = 54,489,668,544.96/342,638.20
  6. Step 6: Final answer
    x = 159,029.75

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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.