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Finding the Fourth Proportional to 342,842.46, 514,399.08 and 106,203.60

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Solution

The fourth proportional to 342,842.46, 514,399.08 and 106,203.60 is: 159,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,842.46 : 514,399.08 = 106,203.60 : x
  2. Step 2: Convert to fraction form
    342,842.46/514,399.08 = 106,203.60/x
  3. Step 3: Cross multiply
    342,842.46x = 514,399.08 × 106,203.60
  4. Step 4: Simplify right side
    342,842.46x = 54,631,034,132.69
  5. Step 5: Solve for x
    x = 54,631,034,132.69/342,842.46
  6. Step 6: Final answer
    x = 159,347.34

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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.