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Finding the Fourth Proportional to 342,857.20, 514,285.80 and 121,241.20

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Solution

The fourth proportional to 342,857.20, 514,285.80 and 121,241.20 is: 181,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,857.20 : 514,285.80 = 121,241.20 : x
  2. Step 2: Convert to fraction form
    342,857.20/514,285.80 = 121,241.20/x
  3. Step 3: Cross multiply
    342,857.20x = 514,285.80 × 121,241.20
  4. Step 4: Simplify right side
    342,857.20x = 62,352,627,534.96
  5. Step 5: Solve for x
    x = 62,352,627,534.96/342,857.20
  6. Step 6: Final answer
    x = 181,861.80

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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.