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Finding the Fourth Proportional to 342,743.46, 514,136.97 and 106,066.26

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Solution

The fourth proportional to 342,743.46, 514,136.97 and 106,066.26 is: 159,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,743.46 : 514,136.97 = 106,066.26 : x
  2. Step 2: Convert to fraction form
    342,743.46/514,136.97 = 106,066.26/x
  3. Step 3: Cross multiply
    342,743.46x = 514,136.97 × 106,066.26
  4. Step 4: Simplify right side
    342,743.46x = 54,532,585,535.63
  5. Step 5: Solve for x
    x = 54,532,585,535.63/342,743.46
  6. Step 6: Final answer
    x = 159,106.13

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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.