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Finding the Fourth Proportional to 146,641.80, 219,941.10 and 41,471.40

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Solution

The fourth proportional to 146,641.80, 219,941.10 and 41,471.40 is: 62,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,641.80 : 219,941.10 = 41,471.40 : x
  2. Step 2: Convert to fraction form
    146,641.80/219,941.10 = 41,471.40/x
  3. Step 3: Cross multiply
    146,641.80x = 219,941.10 × 41,471.40
  4. Step 4: Simplify right side
    146,641.80x = 9,121,265,334.54
  5. Step 5: Solve for x
    x = 9,121,265,334.54/146,641.80
  6. Step 6: Final answer
    x = 62,200.99

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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.